If .^25 C0 + 5 .^25 C1 + 9 .^25 C2 .... ...

If `.^25 C_0 + 5 .^25 C_1 + 9 .^25 C_2 .... 101 .^25 C_25 = 2^(25) k` find k = ?

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The correct Answer is:

`51`

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