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
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?
  1. 20
  2. 45
  3. 3
  4. 5
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
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
  1. 63
  2. 90
  3. 126
  4. 45
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
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