$10$ chairs are numbered and arranged in $2$ rows as shown in the following diagram. $1$$2$\

Question

$10$ chairs are numbered and arranged in $2$ rows as shown in the following diagram. $1$$2$$3$$4$$5$ $6$$7$$8$$9$$10$ In how many ways can $9$ people, comprising $7$ men and $2$ women, be seated without restriction? if the $2$ women must not sit in the same row? if the $2$ women must sit together in the same row? Later, these $9$ people are split into $3$ groups of $3$ people each. In how many ways can this be done?

Accepted Answer

(i) $3\,628\,800$ (ii) $2\,016\,000$ (iii) $645\,120$ (iv) $280$

Permutation and Combination - Permutations of Distinct Objects

Permutation and Combination - Permutations of Distinct Objects

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