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Question

(1+x)15=a0+a1x++a15x1515r=1rarar1=

A
110
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B
115
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C
120
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D
135
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Solution

The correct option is B 120
nCr/nCr1=nr+1/r. Now we have to find sum of r(n - r + 1)/r = sum of(n - r + 1) =
n*n - n(n+1)/2 + n = n(n+1)/2. Here n= 15 which gives answer 120.

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