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Question

The total number of ways of dividing 15 different things into groups of 8,4 and 3 respectively is

A
15C87C4
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B
15C88C4
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C
15C67C4
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D
15C68C4
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Solution

The correct option is A 15C87C4
Required number of ways
=15!8! 4! 3!=15!8!7!×7!4!3!=15C87C4

Alternate Solution:
Forming a group of 8 object from 15 can be done in 15C8 ways and another group of 4 objects can be formed from the rest of the objects left in 7C4 ways, now last group of 3 object can be formed in 3C3 ways
Hence total possible ways are
=15C87C4

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