65 + Mcqs in Combinatorics in SRMJEEE Page 2 McqOptions

Explore topic-wise MCQs in SRMJEEE .

The&nbsp;number&nbsp;of&nbsp;positive&nbsp;integers&nbsp;which&nbsp;can&nbsp;be&nbsp;formed&nbsp;by&nbsp;using&nbsp;any&nbsp;number&nbsp;of&nbsp;digits&nbsp;from&nbsp;0,1,2,3,4,5&nbsp;without&nbsp;repetition.

In&nbsp;a&nbsp;party&nbsp;every&nbsp;person&nbsp;shakes&nbsp;hands&nbsp;with&nbsp;every&nbsp;other&nbsp;person.&nbsp;If&nbsp;there&nbsp;are&nbsp;105&nbsp;hands&nbsp;shakes,&nbsp;find&nbsp;the&nbsp;number&nbsp;of&nbsp;person&nbsp;in&nbsp;the&nbsp;party.

There&nbsp;are&nbsp;10&nbsp;points&nbsp;in&nbsp;a&nbsp;plane&nbsp;out&nbsp;of&nbsp;which&nbsp;4&nbsp;are&nbsp;collinear.&nbsp;Find&nbsp;the&nbsp;number&nbsp;of&nbsp;triangles&nbsp;formed&nbsp;by&nbsp;the&nbsp;points&nbsp;as&nbsp;vertices.

Find&nbsp;the&nbsp;number&nbsp;of&nbsp;triangles&nbsp;which&nbsp;can&nbsp;be&nbsp;formed&nbsp;by&nbsp;joining&nbsp;the&nbsp;angular&nbsp;points&nbsp;of&nbsp;a&nbsp;polygon&nbsp;of&nbsp;8&nbsp;sides&nbsp;as&nbsp;vertices.

Three&nbsp;gentlemen&nbsp;and&nbsp;three&nbsp;ladies&nbsp;are&nbsp;candidates&nbsp;for&nbsp;two&nbsp;vacancies.&nbsp;A&nbsp;voter&nbsp;has&nbsp;to&nbsp;vote&nbsp;for&nbsp;two&nbsp;candidates.&nbsp;In&nbsp;how&nbsp;many&nbsp;ways&nbsp;can&nbsp;one&nbsp;cast&nbsp;his&nbsp;vote?

In&nbsp;how&nbsp;many&nbsp;ways&nbsp;2&nbsp;students&nbsp;can&nbsp;be&nbsp;chosen&nbsp;from&nbsp;the&nbsp;class&nbsp;of&nbsp;20&nbsp;students?

In&nbsp;how&nbsp;many&nbsp;ways&nbsp;4&nbsp;boys&nbsp;and&nbsp;3&nbsp;girls&nbsp;can&nbsp;be&nbsp;seated&nbsp;in&nbsp;a&nbsp;row&nbsp;so&nbsp;that&nbsp;they&nbsp;are&nbsp;alternate.

In&nbsp;how&nbsp;many&nbsp;ways&nbsp;can&nbsp;10&nbsp;examination&nbsp;papers&nbsp;be&nbsp;arranged&nbsp;so&nbsp;that&nbsp;the&nbsp;best&nbsp;and&nbsp;the&nbsp;worst&nbsp;papers&nbsp;never&nbsp;come&nbsp;together?

How&nbsp;many&nbsp;different&nbsp;words&nbsp;can&nbsp;be&nbsp;formed&nbsp;using&nbsp;all&nbsp;the&nbsp;letters&nbsp;of&nbsp;the&nbsp;word&nbsp;ALLAHABAD? (a)&nbsp;When&nbsp;vowels&nbsp;occupy&nbsp;the&nbsp;even&nbsp;positions. (b)&nbsp;Both&nbsp;L&nbsp;do&nbsp;not&nbsp;occur&nbsp;together.

How&nbsp;many&nbsp;Permutations&nbsp;of&nbsp;the&nbsp;letters&nbsp;of&nbsp;the&nbsp;word&nbsp;APPLE&nbsp;are&nbsp;there?

In&nbsp;how&nbsp;many&nbsp;ways&nbsp;can&nbsp;8&nbsp;Indians&nbsp;and,&nbsp;4&nbsp;American&nbsp;and&nbsp;4&nbsp;Englishmen&nbsp;can&nbsp;be&nbsp;seated&nbsp;in&nbsp;a&nbsp;row&nbsp;so&nbsp;that&nbsp;all&nbsp;person&nbsp;of&nbsp;the&nbsp;same&nbsp;nationality&nbsp;sit&nbsp;together?

The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition.

In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.

There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices.

Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.

Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?

In how many ways 2 students can be chosen from the class of 20 students?

In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.

In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?

How many different words can be formed using all the letters of the word ALLAHABAD? (a) When vowels occupy the even positions. (b) Both L do not occur together.

How many Permutations of the letters of the word APPLE are there?

In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?