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A committee of 4 members is to be formed out of 6 men and 4 women.  In how many ways can this be done when at most 2 men are included?

Option: 1

115
 


Option: 2

114


Option: 3

112

 


Option: 4

113


Answers (1)

best_answer

(2 men & 2 women) or (1 men & 3 Women) or (0 men & 4 Women) 

\begin{aligned} & { }^6 C_2 \times{ }^4 C_2+{ }^6 C_1 \times{ }^4 C_3+{ }^6 C_0 \times{ }^4 C_4 \\ \end{aligned}

\mathrm{=115 \, ways}

Posted by

Kuldeep Maurya

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