1.

The value of .^(15)C_(0)^(2)-.^(15)C_(1)^(2)+.^(15)C_(2)^(2)-"...."-.^(15)C_(15)^(2) is

Answer»

15
-15
0
51

Solution :As we KNOW that `.^(n)C_(0)-.^(n)C_(1)^(2) + .^(n)C_(3)^(2)+"…."+(-1)^(n).^(n)C_(n)^(2) = 0` .
(if n is odd) and in the question `n = 15` (odd). Hence, sum of given SERIES is 0.


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