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If (1+x)^n=C0+C1x+C2x^2+...+Cn x^n , the...

If `(1+x)^n=C_0+C_1x+C_2x^2+...+C_n x^n ,` then `C_0C_2+C_1C_3+C_2C_4+...+C_(n-2)C_n=` a. `((2n)!)/((n !)^2)` b. `((2n)!)/((n-1)!(n+1)!)` c. `((2n)!)/((n-2)!(n+2)!)` d. none of these

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  2. Statement 1: In the expansion of (1+x)^(41)(1-x+x^2)^(40), the coeffic...

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  3. Statement 1: The coefficient of x^n in (1+x+(x^2)/(2!)+(x^3)/(3!)++(x^...

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  14. If (1+x)^n=C0+C1x+C2x^2+...+Cn x^n , then C0C2+C1C3+C2C4+...+C(n-2)Cn=...

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  15. The value of lim(n->oo)sum(r=0)^(n)(sum(t=0)^(r-1)1/(5^n)*"^n Cr*"^...

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  20. The number of real negavitve terms in the binomial expansion of (1 ...

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