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The value of r for which .^(20)C(r )...

The value of r for which
` .^(20)C_(r ). ^(20)C_(0)+ .^(20)C_(r - 1) .^(20)C_(1) + .^(20)C_(r - 2).^(20)C_(2) + …… + .^(20)C_(0) .^(20)C_(r )` is maximum, is

A

20

B

15

C

11

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
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If a= ^(20)C_(0) + ^(20)C_(3) + ^(20)C_(6) + ^(20)C_(9) + "…..", b = ^(20)C_(1) + ^(20)C_(4) + ^(20)C_(7) + "… and c = ^(20)C_(2) + ^(20)C_(5) + ^(20)C_(8) + "…..", then Value of (a-b)^(2) + (b-c)^(2) + (c-a)^(2) is

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