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Question

The number of non-negative integral solution of x1+x2+x3+x4n ( where n is a positive integer ) is

A
n+4Cn
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B
n+4C4
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C
n+3C3
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D
n+3Cn
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Solution

The correct options are
A n+4Cn
B n+4C4
Given: x1+x2+x3+x4n
Let x5 be such that x1+x2+x3+x4+x5=n
We now seek the non-negative integral solutions of x1+x2+x3+x4+x5=n.
The required number of ways is n+4Cn=n+4C4

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