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Permutation: n Different Things Taken All at a Time When All Are Not Different.

In how many w...

Question

In how many ways can you distribute $10$ identical balls, into two non-identical boxes so that none are empty?

A

2

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B

8

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C

9

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D

10

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Solution

The correct option is B $9$
10 identical balls into two non-identical boxes as follows:
$(1, 9), (2, 8), (3, 7), (4, 6), (5, 5), (6, 4), (7, 3), (8, 2), (9, 1)$
In 9 ways 10 identical balls into two boxes can be distributed.

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Permutation: n Different Things Taken All at a Time When All Are Not Different.

Standard XII Mathematics

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