^{15}C_0^2{ - ^{15}}C_1^2{ + ^{15}}C_2^2 - .. | vedclass

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Question

(c) As we know that

$^n{C_0} - {\,^n}C_1^2 + {\,^n}C_2^2 - {\,^n}C_3^2 + ... + {( - 1)^n}.{\,^n}C_n^2 = 0$, (if $n$ is odd)

and in the question

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(c) As we know that

$^n{C_0} - {\,^n}C_1^2 + {\,^n}C_2^2 - {\,^n}C_3^2 + ... + {( - 1)^n}.{\,^n}C_n^2 = 0$, (if $n$ is odd)

and in the question $n=15$ (odd).

$^{15}C_0^2{ - ^{15}}C_1^2{ + ^{15}}C_2^2 - ....{ - ^{15}}C_{15}^2$ = . . .

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