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?
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
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
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
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
| 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
