258 + Mcqs in Permutations and Combinations Page 3 McqOptions

101.	On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students?
A.	380
B.	420
C.	441
D.	400
Answer» C. 441

Discussion

102.	In the below word how many words are there in which R and W are at the end positions?_x005F_x000D_ RAINBOW
A.	120
B.	180
C.	210
D.	240
Answer» E.

Discussion

103.	In how many ways word of 'GLACIOUS' can be arranged such that 'C' always comes at end?
A.	3360
B.	5040
C.	720
D.	1080
Answer» C. 720

Discussion

104.	In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends?
A.	720
B.	360
C.	120
D.	24
Answer» E.

Discussion

105.	In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ?
A.	186
B.	144
C.	136
D.	120
Answer» E.

Discussion

106.	In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?
A.	5!
B.	6!
C.	4!
D.	Can't determine
Answer» E.

Discussion

107.	In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends?
A.	240
B.	72
C.	48
D.	36
Answer» D. 36

Discussion

108.	In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?
A.	1,51,200 ways.
B.	5,04,020 ways
C.	72,000 ways
D.	None of the above
Answer» B. 5,04,020 ways

Discussion

109.	In how many ways, can zero or more letters be selected form the letters AAAAA?
A.	5
B.	6
C.	2
D.	8
Answer» C. 2

Discussion

110.	In How many ways is it possible to make a selection by taking any number of 15 fruits, namely 3 oranges, 5 apples and 7 mangoes?
A.	131
B.	191
C.	68
D.	3720
Answer» C. 68

Discussion

111.	In how many ways can you choose one or more of 12 different candies?
A.	4054
B.	4050
C.	4095
D.	4059
Answer» D. 4059

Discussion

112.	In how many ways can the letters of the word "PROBLEM" be rearranged to make 7Â letter words such that none of the letters repeat?
A.	49
B.	7!
C.	7^7
D.	7^3
Answer» C. 7^7

Discussion

113.	In how many ways can the letters of the word 'MISSISIPPI' be arranged ?
A.	12400
B.	11160
C.	16200
D.	12600
Answer» E.

Discussion

114.	In how many ways can the letters of the word 'LEADER' be arranged ?
A.	360
B.	420
C.	576
D.	220
Answer» B. 420

Discussion

115.	In how many ways can the letters of the word ABACUS be rearranged such that theÂ vowels always appear together?
A.	4!/2!
B.	3!/2!
C.	(4! x 3!) / 2!
D.	36
Answer» D. 36

Discussion

116.	In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?
A.	360
B.	720
C.	120
D.	840
Answer» B. 720

Discussion

117.	In how many ways can letter of the word RAILINGS arrange so that R and S always come together?
A.	1260
B.	2520
C.	5040
D.	1080
Answer» D. 1080

Discussion

118.	In how many ways can a group of 5 men and 2 women be made out of a total of 7 menÂ and 3 women?
A.	54
B.	64
C.	63
D.	36
Answer» D. 36

Discussion

119.	In how many ways can an animal trainer arrange 5 lions and 4 tigers in a rowÂ so that no two lions are together?
A.	2800
B.	2880
C.	2600
D.	3980
Answer» C. 2600

Discussion

120.	In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3Â women?
A.	135
B.	63
C.	125
D.	64
Answer» C. 125

Discussion

121.	In how many ways can 5 letters be posted in 4 letter boxes?
A.	512
B.	1024
C.	625
D.	20
Answer» C. 625

Discussion

122.	In how many ways can 5 different toys be packed in 3 identical boxes such that no box isÂ empty, if any of the boxes may hold all of the toys ?
A.	36
B.	25
C.	24
D.	72
Answer» C. 24

Discussion

123.	In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?
A.	15
B.	10
C.	25
D.	20
Answer» D. 20

Discussion

124.	In how many ways can 100 soldiers be divided into 4 squads of 10, 20, 30, 40 respectively?
A.	1700
B.	18!
C.	190
D.	None of these
Answer» E.

Discussion

125.	In how many ways can 4 sit at a round table for a group discussions?
A.	9
B.	3
C.	6
D.	12
Answer» D. 12

Discussion

126.	In how many ways can 4 girls and 5 boys be arranged in a row so that all theÂ four girls are together ?
A.	18000
B.	17280
C.	17829
D.	18270
Answer» C. 17829

Discussion

127.	In how many ways a committee, consisting of 5 men and 6 women can be formed from 8Â men and 10 women?
A.	11670
B.	12000
C.	11760
D.	20050
Answer» D. 20050

Discussion

128.	In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together?
A.	112420
B.	85120
C.	40320
D.	1209600
Answer» E.

Discussion

129.	In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 menÂ and 10 women?
A.	53400
B.	17610
C.	11760
D.	45000
Answer» D. 45000

Discussion

130.	In how many different ways Â can 3 students be associated with 4 chartered accountants,assuming that each chartered accountant can take at most one student?
A.	12
B.	36
C.	24
D.	16
Answer» D. 16

Discussion

131.	In how many different ways could couples be picked from 6 men and 9 women ?
A.	26
B.	54
C.	52
D.	28
Answer» C. 52

Discussion

132.	In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together?
A.	1440
B.	720
C.	2250
D.	3600
Answer» E.

Discussion

133.	In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowelsÂ always come together?
A.	720
B.	1440
C.	1800
D.	3600
Answer» C. 1800

Discussion

134.	In how many different ways can the letters of the word 'POVERTY' be arranged ?
A.	2520
B.	5040
C.	1260
D.	None
Answer» C. 1260

Discussion

135.	In how many different ways can the letters of the word 'RITUAL' be arranged?
A.	720
B.	5040
C.	360
D.	180
Answer» B. 5040

Discussion

136.	In how many different ways can the letters of the word 'MATHEMATICS' be arranged soÂ that the vowels always come together?
A.	120960
B.	120000
C.	146700
D.	None of these
Answer» B. 120000

Discussion

137.	In how many different ways can the letters of the word 'HAPPYHOLI' be arranged?
A.	89972
B.	90720
C.	72000
D.	81000
Answer» C. 72000

Discussion

138.	In how many different ways can the letters of the word 'DETAIL' be arranged in such aÂ way that the vowels occupy only the odd positions?
A.	36
B.	25
C.	42
D.	120
Answer» B. 25

Discussion

139.	In how many different ways can the letters of the word 'CORPORATION' be arranged soÂ that the vowels always come together
A.	50000
B.	40500
C.	5040
D.	50400
Answer» E.

Discussion

140.	In how many different ways can the letters of the word 'ABYSMAL' be arranged ?
A.	5040
B.	3650
C.	4150
D.	2520
Answer» E.

Discussion

141.	In how many different ways can five persons stand in a line for a group photograph?
A.	120
B.	240
C.	360
D.	720
Answer» B. 240

Discussion

142.	In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B , and no two are parallel. Find the number of points of intersection of the straight lines.
A.	525
B.	535
C.	545
D.	555
Answer» C. 545

Discussion

143.	In a plane 8 points are colliner Â out of 12 points, then the number of triangles we get with those 12 points is
A.	20
B.	160
C.	164
D.	220
Answer» D. 220

Discussion

144.	In how many different ways can 6 different balls be distributed to 4 different boxes, when each box can hold any number of ball?
A.	2048
B.	1296
C.	4096
D.	576
Answer» D. 576

Discussion

145.	In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?
A.	205
B.	194
C.	209
D.	159
Answer» D. 159

Discussion

146.	In a box, there are 5 black pens, 3 white pens and 4 red pens. In how manyÂ ways can 2 black pens, 2 white pens and 2 red pens can be chosen?
A.	180
B.	220
C.	240
D.	160
Answer» B. 220

Discussion

147.	In a group of 6 boys and 4 girls, four children are to be selected. In how many differentÂ ways can they be selected such that at least one boy should be there?
A.	209
B.	290
C.	200
D.	208
Answer» B. 290

Discussion

148.	In a G - 20 meeting there were total 20 people representing their own country. All the representative sat around a circular table. Find the number of ways in which we can arrange them around a circular table so that there is exactly one person between two representatives namely Manmohan and Musharraf.
A.	2 x (17!)
B.	2 x (18!)
C.	(3!) x (18!)
D.	(17!)
Answer» C. (3!) x (18!)

Discussion

149.	In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ?_x005F_x000D_ A)Â 13_x005F_x000D_ B)821_x005F_x000D_ C)621_x005F_x000D_ D)2021
A.	Option A
B.	Option B
C.	Option C
D.	Option D
Answer» B. Option B

Discussion

150.	In a bag containing red, green and pink tokens, the ratio of red to green tokens was 5 : 12 while the ratio of pink to red tokens was 7 : 15. What was the ratio of green to pink tokens?
A.	1.0611111111111
B.	1.5048611111111
C.	0.35069444444444
D.	0.50486111111111
Answer» C. 0.35069444444444

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students?

In the below word how many words are there in which R and W are at the end positions?_x005F_x000D_ RAINBOW

In how many ways word of 'GLACIOUS' can be arranged such that 'C' always comes at end?

In how many ways the word 'SCOOTY' can be arranged such that 'S' and 'Y' are always at two ends?

In how many ways the letters of the word OLIVER be arranged so that the vowels in the word always occur in the dictionary order as we move from left to right ?

In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?

In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends?

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

In how many ways, can zero or more letters be selected form the letters AAAAA?

In How many ways is it possible to make a selection by taking any number of 15 fruits, namely 3 oranges, 5 apples and 7 mangoes?

In how many ways can you choose one or more of 12 different candies?

In how many ways can the letters of the word "PROBLEM" be rearranged to make 7Â letter words such that none of the letters repeat?

In how many ways can the letters of the word 'MISSISIPPI' be arranged ?

In how many ways can the letters of the word 'LEADER' be arranged ?

In how many ways can the letters of the word ABACUS be rearranged such that theÂ vowels always appear together?

In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

In how many ways can a group of 5 men and 2 women be made out of a total of 7 menÂ and 3 women?

In how many ways can an animal trainer arrange 5 lions and 4 tigers in a rowÂ so that no two lions are together?

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3Â women?

In how many ways can 5 letters be posted in 4 letter boxes?

In how many ways can 5 different toys be packed in 3 identical boxes such that no box isÂ empty, if any of the boxes may hold all of the toys ?

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

In how many ways can 100 soldiers be divided into 4 squads of 10, 20, 30, 40 respectively?

In how many ways can 4 sit at a round table for a group discussions?

In how many ways can 4 girls and 5 boys be arranged in a row so that all theÂ four girls are together ?

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8Â men and 10 women?

In how many different ways the letters of the word 'TRANSFORMER' can be arranged such that 'N' and 'S' always come together?

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 menÂ and 10 women?

In how many different ways Â can 3 students be associated with 4 chartered accountants,assuming that each chartered accountant can take at most one student?

In how many different ways could couples be picked from 6 men and 9 women ?

In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together?

In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowelsÂ always come together?

In how many different ways can the letters of the word 'POVERTY' be arranged ?

In how many different ways can the letters of the word 'RITUAL' be arranged?

In how many different ways can the letters of the word 'MATHEMATICS' be arranged soÂ that the vowels always come together?

In how many different ways can the letters of the word 'HAPPYHOLI' be arranged?

In how many different ways can the letters of the word 'DETAIL' be arranged in such aÂ way that the vowels occupy only the odd positions?

In how many different ways can the letters of the word 'CORPORATION' be arranged soÂ that the vowels always come together

In how many different ways can the letters of the word 'ABYSMAL' be arranged ?

In how many different ways can five persons stand in a line for a group photograph?

In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B , and no two are parallel. Find the number of points of intersection of the straight lines.

In a plane 8 points are colliner Â out of 12 points, then the number of triangles we get with those 12 points is

In how many different ways can 6 different balls be distributed to 4 different boxes, when each box can hold any number of ball?

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ?

In a box, there are 5 black pens, 3 white pens and 4 red pens. In how manyÂ ways can 2 black pens, 2 white pens and 2 red pens can be chosen?

In a group of 6 boys and 4 girls, four children are to be selected. In how many differentÂ ways can they be selected such that at least one boy should be there?

In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ?_x005F_x000D_ A)Â 13_x005F_x000D_ B)821_x005F_x000D_ C)621_x005F_x000D_ D)2021

In a bag containing red, green and pink tokens, the ratio of red to green tokens was 5 : 12 while the ratio of pink to red tokens was 7 : 15. What was the ratio of green to pink tokens?