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The coefficient of x^(24) in (1+x^(2))...

The coefficient of `x^(24)` in
`(1+x^(2))^(12)(1+x^(12))(1+x^(24))` is

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Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is :

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Consider the following statements S_(1) : The total of terms in (x^(2)+2x+4)^(10) is 21 S_(2): The coefficient of x^(10) in (x^(2)+(1)/(x))^(20) is .^(20)C_(10) . S_(3) : The middle term in the expansion of (1+x)^(12) is .^(12)C_(6)x^(6) S_(4) : If the coefficients of fifth and ninth term in the expansion of (1+x)^(n) are same, then n=12 Now identify the correct combination of true statements.

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