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  • A committee of 6 members is to be formed out of 6 men and 4 women.  In how many ways can this be done when at most 2 women are included?Option: 1<

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

Option: 1

115
 


Option: 2

114


Option: 3

112

 


Option: 4

113


Answers (1)

best_answer

(2 Women \& 4 men) or (1 Women \& 5 Men) or (0 Women \& 6 Men)

\mathrm{ \begin{aligned} & { }^4 C_2 \times{ }^6 C_4+{ }^4 C_1 \times{ }^6 C_5+{ }^4 C_0 \times{ }^6 C_6 \\ \end{aligned} }

\mathrm{ \begin{aligned} = & \frac{4 !}{2 ! 2 !} \times \frac{6 !}{4 ! 2 !}+\frac{4 !}{1 ! 3 !} \times \frac{6 !}{5 ! 1 !}+6 \\ = & 115 \text { ways } \end{aligned} }

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seema garhwal

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