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Question

The number of positive integral solutions of the equation a+b+c+d+e=30 is

A
25173
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B
23517
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C
25731
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D
23751
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Solution

The correct option is D 23751
Number of positive integral solutions for x1+x2...+xn=k is k1Cn1
Here k=30 and n=5
So number of positive integral solutions =301C51=29C4=23751

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