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This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
In a family, 5 males and 3 females are there. In how many ways we can select a group of 2 males and 2 females from the family? |
A. | 3 |
B. | 10 |
C. | 30 |
D. | 40 |
Answer» D. 40 | |
2. |
Out of a group of 5 persons, find the number of ways of selecting 3 persons. |
A. | 1 |
B. | 5 |
C. | 10 |
D. | 15 |
Answer» D. 15 | |
3. |
If 14Cr = 14 and 15Cr = 15. Find the value of 14Cr-1. |
A. | 1 |
B. | 14 |
C. | 15 |
D. | 3 |
Answer» B. 14 | |
4. |
Determine n if 2nC3: nC3 = 9:1. |
A. | 7 |
B. | 14 |
C. | 28 |
D. | 32 |
Answer» C. 28 | |
5. |
If 6C2 = 6CX then find possible values of x. |
A. | 2 |
B. | 4 |
C. | 2 and 4 |
D. | 3 |
Answer» D. 3 | |
6. |
If nC2 = nC3 then find n. |
A. | 2 |
B. | 3 |
C. | 5 |
D. | 6 |
Answer» D. 6 | |
7. |
Is nCr = nCn-r true? |
A. | True |
B. | False |
Answer» B. False | |
8. |
nPr = nCr * ______________ |
A. | r! |
B. | 1/r! |
C. | n! |
D. | 1/n! |
Answer» B. 1/r! | |
9. |
nCn = ________________ |
A. | n! |
B. | 1 |
C. | ( frac{1}{(n)!} ) |
D. | (n-1)! |
Answer» C. ( frac{1}{(n)!} ) | |
10. |
nC0 = ________________ |
A. | n! |
B. | 1 |
C. | ( frac{1}{(n)!} ) |
D. | (n-1)! |
Answer» C. ( frac{1}{(n)!} ) | |
11. |
nCr = ________________ |
A. | n! |
B. | ( frac{n!}{r!} ) |
C. | ( frac{n!}{(n-r)!} ) |
D. | ( frac{n!}{(n-r)! r!} ) |
Answer» E. | |
12. |
Order matters in combination. |
A. | True |
B. | False |
Answer» C. | |