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Find the number of ways of dividing 15 t...

Find the number of ways of dividing 15 things in to groups of 8, 4 and 3 respectively.

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Selection of 8 out of 15 can be done in `.^(15)C_(8)` ways
Now, selection of 4 out of remaining 7 can be done in `.^(7)C_(4)` ways
selection of 3 out of remaining 3 can be done in `.^(3)C_(3)` ways.
`therefore` Required number of ways `=.^(15)C_(8).^(7)C_(4).^(3)C_(3)`
`= 225225`.
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