Find the number of ways to divide $16$ people into two groups consisting of $7$ and $9$ people

Question

Find the number of ways to divide $16$ people into two groups consisting of $7$ and $9$ people, two groups consisting of $8$ people each, four groups consisting of $4$ people each, three groups consisting of $6$, $6$ and $3$ people with $1$ particular person excluded.

Accepted Answer

(i) $11\,440$ (ii) $6435$ (iii) $2\,627\,625$ (iv) $210\,210$

Permutation and Combination - Partitioning Distinct Objects into Groups

Permutation and Combination - Partitioning Distinct Objects into Groups

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