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If ""^(12)C((s+1))=""^(12)C((2s-5)), the...

If `""^(12)C_((s+1))=""^(12)C_((2s-5)),` then find s.

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If ""^(n)C_(r )""^(r )C_(5)=""^(n)C_(5) ""^(n+s)C_(r+s) find the value of s .

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Let S_(k) = (1+2+3+...+k)/(k) . If S_(1)^(2) + s_(2)^(2) +...+S_(10)^(2) = (5)/(12)A , then A is equal to

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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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