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  • From a group of 5 men and 4 women, a committee of 3 people is to be formed. How many different committees can be formed if at least one woman must be in the committee?<div class='qna-

From a group of 5 men and 4 women, a committee of 3 people is to be formed. How many different committees can be formed if at least one woman must be in the committee?

Option: 1

75
 


Option: 2

74


Option: 3

64

 


Option: 4

69


Answers (1)

best_answer

(1 Women \& 3 Men) or (2 Women \& 1 Men) or (3 Women \& 0 Men)

\mathrm{ \begin{aligned} & { }^4 C_1 \times{ }^5 C_3+{ }^4 C_2 \times{ }^5 C_1+{ }^4 C_3 \times{ }^5 C_0 \\ \end{aligned} }

\mathrm{ \begin{aligned} = & (4 * 10)+(6 * 5)+(4 * 1) \\ = & 74 \text { ways } \end{aligned} }

 

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Anam Khan

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