Quantitative Apitude-Permutation and Combination
Quantitative Apitude-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?
- 564
- 645
- 735
- 756
2. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
- 360
- 480
- 720
- 5040
3. In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
- 810
- 1440
- 2880
- 50400
4. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
- 210
- 1050
- 25200
- 21400
6. 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?
- 159
- 194
- 205
- 209
7. 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?
- 5
- 10
- 15
- 20
8. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
- 266
- 5040
- 11760
- 86400
9. 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?
- 32
- 48
- 64
- 96
10. 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?
- 32
- 48
- 36
- 60