Class XI

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
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 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 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
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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