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Question

C1C0+2C2C1+3C3C2+....+15C15C14 is equal to

A
100
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B
120
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C
120
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D
None of these
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Solution

The correct option is B 120
C1C0+2C2C1+BC3C2........15C13C14C1C0=42C2C1=n115C15C14=1n+(n1)....1=15(15+1)2=120

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