Latest MBA Aptitude Question SOLUTION: From 4 gentleman and 4 ladies a committee of 5 is to be formed which consist of a president,vice-president and three secretaries.What will be the number of ways of selecting the co

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(#M40013993) MBA question permutations and combinations, probability Keep an EYE

From 4 gentleman and 4 ladies a committee of 5 is to be formed which consist of a president,vice-president and three secretaries.What will be the number of ways of selecting the commitee with atleast 3 women such that atleast one woman hols the post of president or vice-president?

1) 420
2) 610
3) 256
4) 512

Asked In MBA (11 years ago)

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atul sharma  (8 years ago)

3W, 2M
Possibility that at least one W is P or VP = {Total possibility} - {possibility that both P and VP are men}

4W, 1M
In all cases at least one W holds the position of P or VP.

3W, 2M + 4W, 1M
[4C3*4C2*5!/3!]-[4C2*2*4C3] + 4C4*4C1*5!/3!
432 + 80
= 512

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Gaurav kumar  (8 years ago)

ans is 512

Is this solution Helpfull? Yes | No (1)  

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