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Question

If of p+q+r things p are alike, and q be alike, and the rest different, the total number of combinations is

A
(p+1)(q+1)r21
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B
(p+1)(q+1)rr1
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C
(p+1)(q+1)2r+1
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D
(p+1)(q+1)2r1
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Solution

The correct option is B (p+1)(q+1)2r1
No. of combination of p similar object wiil be (p+1)
No. of combination of q similar object wiil be (q+1)
No. of combination of r different object wiill be 2r
Combining all three situation we get (p+1)(q+1)2r
But we have to remove situation where neither of p,q,r occurs and their exist only one situation
So final answer will be (p+1)(q+1)2r1

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