# Permutation and Combination - Aptitude Questions Part 4

16. The cultural committee of a club comprising 4 members is to be formed. There are total 8 volunteers - 5 men and 3 women. What is the probability of having equal number of male and female members in the committee?

 a. 2 21
 b. 5 21
 c. 1 7
 d. 1 3

 Answer: c. 1 7

17. A question needs the student to arrange the letters of the word "RUMOUR" in different ways. How many ways are possible?

a. 30
b. 90
c. 180
d. 720

Answer: c. 180

18. You have to use the digits 2, 3, 5, 6, 7 and 9 and without repeating the digits, form three digit numbers that are divisible by 5. How many such numbers can you form?

a. 5
b. 10
c. 15
d. 20

Answer: d. 20

19. A security group is to be formed from 7 male and 6 female commandos. At least 3 males should be there in the group. In how many ways can you form this group?

a. 564
b. 645
c. 735
d. 756

Answer: d. 756

20. Condition: The vowels should always appear together.
Word given: "AUCTION"
How many arrangements can you form from the letters of the given word to satisfy the given condition?

a. 30
b. 48
c. 144
d. 576

Answer: d. 576