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  4. 8 chairs are numbered from 1 to 8 . 2 women and 3 men wish to occupy one chair each . First the women choose the chairs from amongst the chairs marked 1 to 4, then the men select the chairs from among the remaining. The number of possbile arrangements is :

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Q. 8 chairs are numbered from 1 to 8 . 2 women and 3 men wish to occupy one chair each . First the women choose the chairs from amongst the chairs marked 1 to 4, then the men select the chairs from among the remaining. The number of possbile arrangements is :

Permutations and Combinations

Solution:

${ }^4 C _2 \cdot 2 !{ }^6 C _3 \cdot 3 !={ }^4 P _2 \cdot{ }^6 P _3 \Rightarrow D$