Permutations and Combinations 2 Question 19
19. A committee of 12 is to be formed from 9 women and 8 men. In how many ways this can be done if at least five women have to be included in a committee? In how many of these committees
(i) the women are in majority?
(ii) the men are in majority?
(1994, 4M)
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Answer:
Correct Answer: 19. 6062 , (i) 2702 (ii) 1008
Solution:
- Given that, there are 9 women and 8 men, a committee of 12 is to be formed including at least 5 women.
This can be done in
Total number of ways of forming committee
(i) The women are in majority
(ii) The man are in majority
