SATHEE: Quantitative Aptitude Ques 2316

Quantitative Aptitude Ques 2316

Question: A committee of 12 persons is to be formed from 9 women and 8 men. In how many ways this can be done if atleast 5 women have to be included in a committee?

Options:

A) 6000

B) 6010

C) 6062

D) 6005

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Since, there are 9 women and 8 men. So, a committee of 12 consisting of atleast 5 women can be formed by choosing. (i) 5 women and 7 men
(ii) 6 women and 6 men (iii) 7 women and 5 men (iv) 8 Women and 4 men (v) 9 women and 3 men

$ \therefore $ Total number of ways of forming the committee $ ={}^{9}C _5\times {}^{8}C _7+{}^{9}C _6\times {}^{8}C _6+{}^{9}C _7\times {}^{8}C _5 $ $ +{}^{9}C _8\times {}^{8}C _4+{}^{9}C _9\times {}^{8}C _3 $ $ =1008+2352+2016+630+56=6062 $

Quantitative Aptitude Ques 2315

Quantitative Aptitude Ques 2317

Quantitative Aptitude Ques 2316

Question: A committee of 12 persons is to be formed from 9 women and 8 men. In how many ways this can be done if atleast 5 women have to be included in a committee?

Options:

Answer:

Solution:

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