NIMCET 2017 — Reasoning PYQ

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Question

NIMCET 2017 — Reasoning PYQ

NIMCET | Reasoning | 2017

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

Choose the correct answer:

Explanation

Formula Used:
Number of ways of selection of r items out of n items: $^{n} C_{r}$ = 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: $7 C_{3} \times 6 C_{2} + 7 C_{4} \times 6 C_{1} + 7 C_{5} \times 6 C_{0}$

$\Rightarrow 35 \times 15 + 35 \times 6 + 21 \times 1$

$\Rightarrow 756$

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