In how many ways,a committee of 3 members can | vedclass

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(C) To form a committee of $3$ members consisting of $2$ men and $1$ woman from $5$ men and $4$ women:Step $1$: Select $2$ men from $5$ men. This can

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) To form a committee of $3$ members consisting of $2$ men and $1$ woman from $5$ men and $4$ women:Step $1$: Select $2$ men from $5$ men. This can be done in ${ }^{5} C_{2}$ ways.${ }^{5} C_{2} = \frac{5 	imes 4}{2 	imes 1} = 10$ ways.Step $2$: Select $1$ woman from $4$ women. This can be done in ${ }^{4} C_{1}$ ways.${ }^{4} C_{1} = 4$ ways.Step $3$: The total number of ways to form the committee is the product of the number of ways to select the men and the women.Total ways $= 10 	imes 4 = 40$ ways.

In how many ways,a committee of $3$ members can be selected from $5$ men and $4$ women,consisting of $2$ men and $1$ woman?

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