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In the expansion of (1+3x+2x^2)^6 , the ...

In the expansion of `(1+3x+2x^2)^6` , the coefficient of `x^(11)` is a. 144 b. 288 c. 216 d. 576

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The term independent of a in the expansion of (1+sqrta+ 1/(sqrta-1))^-...

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  17. The coefficient of x^(53) in the expansion sum(m=0)^(100)^100Cm(x-3)^(...

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  18. The coefficient of the term independent of x in the exampansion of ((x...

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  19. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  20. If coefficient of a^2 b^3 c^4 in(a+b+c)^m (where n in N) is L(L != 0)...

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