Find the number of ways to divide $12$ people into two groups consisting of $7$ and $5$ people

Question

Find the number of ways to divide $12$ people into two groups consisting of $7$ and $5$ people, two groups consisting of $6$ people each, three groups consisting of $4$ people each, three groups consisting of $4$, $4$ and $3$ people with $1$ particular person excluded.

Accepted Answer

(i) $792$ (ii) $462$ (iii) $5775$ (iv) $5775$

Permutation and Combination - Partitioning Distinct Objects into Groups

Permutation and Combination - Partitioning Distinct Objects into Groups

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