1.

From a group of 7 men and 6 women , a committee of 5 person with more males than females is to be formed . In how many ways can this be done ?1. 5642. 6453. 7354. 756

Answer» Correct Answer - Option 4 : 756

Formula Used:

Number of ways of selection of  r items out of  n items: nCr   = n!/((n-r)! × r!)

Concept:

Probable combinations of selection could be as follows:

Cases

Required number of Males

Required number of Females

I

3

2

II

4

1

III

5

0

 

Calculation:

Number of ways: 7C× 6C2 + 7C4 × 6C1 + 7C5 × 6C0

⇒ 35× 15 + 35× 6 + 21× 1

⇒ 756

Number of ways in which the following activities can be done = 756



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