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 in the committee. In how many ways can it be done?
- (a) 564
- (b) 845
- (c) 735
- (d) 756
- (e) None of these
In how many different ways can the letters of the word “LEADING” be arranged in such a way that the vowels always come together?
- (a) 360
- (b) 480
- (c) 720
- (d) 5040
- (e) None of these
In how many different ways can the letters of the word “CORPORATION” be arranged so that the vowels always come together?
- (a) 810
- (b) 1440
- (c) 2880
- (d) 50400
- (e) 5780
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
- (a) 210
- (b) 1050
- (c) 25200
- (d) 21400
- (e) None of these
In how many ways can the letters of the word “LEADER” be arranged?
- (a) 72
- (b) 144
- (c) 360
- (d) 720
- (e) None of these
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?
- (a) 159
- (b) 194
- (c) 205
- (d) 209
- (e) None of these
How many 3digit 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?
- (a) 5
- (b) 10
- (c) 15
- (d) 20
In how many ways can a committee, consisting of 5 men and 6 women, be formed from 8 men and 10 women?
- (a) 266
- (b) 5040
- (c) 11760
- (d) 86400
- (e) None of these
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?
- (a) 32
- (b) 48
- (c) 64
- (d) 96
- (e) None of these
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?
- (a) 32
- (b) 36
- (c) 48
- (d) 60
- (e) 120