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Find the coefficient of a^(2)b^(3)c^(4)d...

Find the coefficient of `a^(2)b^(3)c^(4)d` in the expansion of `(a-b-c+d)^(10)`.

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The coefficient of `a^(4) b^(3) c^(2) d ` in the expansion of
` (a - b + c d)^(10)" is " (-1)^(4)(10!)/(4!3!2!1!) = 12600`
[power of b and d are 3 and ` 1 therefore (-1)^(3) (-1)]`
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ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Questions Asked In Previous 13 Years Exam)
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  7. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

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  8. Statement-1: sum(r =0)^(n) (r +1)""^(n)C(r) = (n +2) 2^(n-1) Stat...

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  10. For r= 0, 1,.....,10, let Ar,Br, and Crdenote, respectively, the coe...

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  11. So, statement-1 is also true. Stetement-2 is a correct expanation fo...

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  12. The coefficient of x^(7) in the expansion of (1-x-x^(2) + x^(3))^(6) i...

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  13. If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...

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  14. In the expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))^10 ...

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  15. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

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  16. If the coefficients of x^(3) and x^(4) in the expansion of (1 + ax + b...

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  17. Coefficient of x^(11) in the expansion of (1+x^2)(1+x^3)^7(1+x^4)^(12)...

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  18. The sum of coefficients in integral powers of x in the binominal expan...

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  19. The coefficient of x^9 in the expansion of (1+x)(16 x^2)(1+x^3)(1+x^(1...

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  20. If the number of terms in the expansion of (1-2/x+4/(x^2))^n , x!=0, i...

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  21. Let m be the smallest positive integer such that the coefficient of x^...

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