Permutation and Combination - Aptitude Questions Part 3

11. Ravi's teacher asked him to make 5 digit numbers using 1, 2, 3, 4, 5 such that each number begins with 13 and none of the digits are repeated.  How many such numbers can he form?

a. 3
b. 5
c. 6
d. 7

Answer: c. 6

12. From a group of 6 boys and 4 girls, a committee is to be formed in such a way that at most 2 girls are a part of the committee. In how many ways can this be done?

a. 124
b. 132
c. 174
d. 186

Answer: d. 186

13. In how many ways can you arrange the letters of the word 'ALPHABET' so that the alphabet 'A' is always at the beginning and alphabet 'T' is at the end?

a. 500
b. 550
c. 664
d. 720

Answer: d. 720

14. I have a circle with 12 points on it. Using these points, how many cyclic quadrilaterals can you draw?

a. 295
b. 394
c. 495
d. 595

Answer: d. 595

15. The teacher asked Kiran to rearrange the letters of the word 'WOMEN' in a fashion such that when consonants occupy the odd places, the vowels occupy the even places

a. 10
b. 12
c. 13
d. 14

Answer: b. 12