A committee of 5 is to be formed out of 6 men and 4 ladies. The number of ways this can be done, when at most 2 ladies are include, is

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Aicharya · Accepted Answer

The committee can be formed in following ways: (5 men), (4 men, 1 lady), (3 men, 2 ladies) $\begin{aligned} & 	herefore 	ext { Number of ways }=\left({ }^6 \mathrm{C}_5ight)+\left({ }^6 \mathrm{C}_4 	imes{ }^4 \mathrm{C}_1ight)+\left({ }^6 \mathrm{C}_3 	imes{ }^4 \mathrm{C}_2ight) \ & =(6)+(15 	imes 4)+(20 	imes 6)=6+60+120=186 \end{aligned}$

A committee of 5 is to be formed out of 6 men and 4 ladies. The number of ways this can be done, when at…

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