In how many ways can $8$ people be divided into groups of $2$ people and $6$ people,[1] $2$

Question

In how many ways can $8$ people be divided into groups of $2$ people and $6$ people,[1] $2$ groups of $4$ people,[2] $4$ groups of $2$ people,[2] ${{1}^{\mathrm{st}}}$ pair, ${{2}^{\mathrm{nd}}}$ pair, ${{3}^{\mathrm{rd}}}$ pair and the ${{4}^{\mathrm{th}}}$ pair.[1]

Accepted Answer

(i) $28$ (ii) $35$ (iii) $105$ (iv) $2520$

Permutation and Combination - Partitioning Distinct Objects into Groups

Permutation and Combination - Partitioning Distinct Objects into Groups

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