A class committee consists of $5$ boys, $3$ girls and $2$ teachers. They have to take a group

Question

A class committee consists of $5$ boys, $3$ girls and $2$ teachers. They have to take a group photograph for the school magazine. Find the number of ways they can be arranged in a row without any restrictions, in a row such that there is a boy at each end of the row, in $2$ rows, with $4$ people in the first row, such that the $2$ teachers stand in the middle of the first row. in a row such that the $2$ teachers are together and no $2$ girls are next to each other.

Accepted Answer

(i) $3\,628\,800$ (ii) $806\,400$ (iii) $80\,640$ (iv) $302\,400$

Permutation and Combination - Permutations of Distinct Objects

Permutation and Combination - Permutations of Distinct Objects

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