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If x^m occurs in the expansion (x+1//x^2...

If `x^m` occurs in the expansion `(x+1//x^2)^(2n)` , then the coefficient of `x^m` is a.`((2n)!)/((m)!(2n-m)!)` b. `((2n)!3!3!)/((2n-m)!)` c. `((2n)!)/(((2n-m)/3)!((4n+m)/3)!)` d. none of these

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  2. The coefficient x^5 in the expansion of (1+x)^(21)+(1+x)^(22)++(1+x)^...

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  3. If x^m occurs in the expansion (x+1//x^2)^(2n) , then the coefficient ...

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  4. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

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  5. If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,then ar is a.(.^nC2)^2 b. .^n ...

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  6. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

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  7. If the coefficients of rth and (r+1)t h terms in the expansion of (3+7...

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  8. In the expansion of (1+3x+2x^2)^6 , the coefficient of x^(11) is a. 14...

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  9. If n-1Cr=(k^2-3)^nC(r+1), then (a) (-oo,-2] (b) [2,oo) (c) [-sqrt3, s...

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  10. Prove that (3!)/(2(n+3))=sum(r=0)^n(-1)^r((^n Cr)/(^(r+3)Cr))

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  11. If an=sum(r=0)^n1/(nCr), then sum(r=0)^n r/(nCr) equals

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  12. The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a ...

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  13. Find ((dy) /dx) of sin(costheta) is

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  14. In the binomial expansion of (a-b)^n,ngeq5, the sum of the 5th and 6t...

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  15. Coefficient of x^(11) in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^(...

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  16. Given positive integers r gt 1, n gt 2 and that the coefficient of (3...

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  17. The coefficient of x^4 in (x//2-3//x^2)^10 is a.(405)/(256) b. (504)/(...

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  18. If Cr stands for nCr, then the sum of the series (2(n/2)!(n/2)!)/(n...

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  19. The sum underset(m)overset(i=0)sum ({:(10),(i):})({:(20),(m-i):}), (wh...

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  20. The coefficient of X^24in the expansion of (1+X^2 )^12(1+X^12)(1+X^24)

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