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Multinomial Theorem

The number of...

Question

The number of ways of selecting $10$ books from book store containing unlimited number of Physics, Chemistry, Mathematics and biology books is

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Solution

Let number of books of Physics, Chemistry, Mathematics and Biology be represented as $P, C, M, B$
$∴ P + C + M + B = 10$
So, number of solutions
$=^{10 + 4 - 1} C_{4 - 1} =^{13} C_{3} = 286$

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Multinomial Theorem

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