Class XI

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
  1. 266
  2. 5040
  3. 11760
  4. 86400
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?
  1. 864
  2. 197
  3. 209
  4. 194
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
  1. 21400
  2. 210
  3. 1050
  4. 25200
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?
  1. 564
  2. 645
  3. 735
  4. 756
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?
  1. 32
  2. 48
  3. 64
  4. 96
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