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Question

The value of r for which S=20Cr10C0+20Cr110C1.....+20C010Cr is maximum is

A
7
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B
8
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C
10
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D
15
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Solution

The correct option is D 15

S=20Cr10C0+20Cr110C1++20C010Cr

This is the sum of coefficients of xr in (1+x)20(1+x)10(1+x)30
So coefficient of xr=30Cr
For r= maximum ,r=302=15

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