# Home / Arithmetic Aptitude / Permutation and Combination :: General Questions

### Arithmetic Aptitude :: Permutation and Combination

1. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

2.  A. 564 B. 645 C. 735 D. 756 E. None of these   3.  In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
4.  A. 360 B. 480 C. 720 D. 5040 E. None of these   5.  In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
6.  A. 810 B. 1440 C. 2880 D. 50400 E. 5760   7. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

8.  A. 210 B. 1050 C. 25200 D. 21400 E. None of these   9. In how many ways can the letters of the word 'LEADER' be arranged?

10.  A. 72 B. 144 C. 360 D. 720 E. None of these   11.  In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
12.  A. 159 B. 194 C. 205 D. 209 E. None of these   13. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

14.  A. 5 B. 10 C. 15 D. 20   15.  In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
16.  A. 266 B. 5040 C. 11760 D. 86400 E. None of these   17. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

18.  A. 32 B. 48 C. 64 D. 96 E. None of these   19. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

20.  A. 32 B. 48 C. 36 D. 60 E. 120   