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

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

A

130

B

120

C

128

D

125

Text Solution

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The correct Answer is:
B
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  4. The coefficient of x^(3l+2) in the expression (a+x)^l(b+x)^(l+1)(c+x)^...

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  10. Let f(x)=a0+a1x+a2x^2+.....+anx^n+....and f(x)/(1-x)=b0+b1x+b2x^2+.......

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  11. If (1-x^2)^n=sum(r=0)^narx^r(1-x)^(2n-r), then ar is equal to

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  13. The sixth term in the expansion of {2^(log2root(5)(9^(x-1)+7))+1/2^(1/...

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  14. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to ?

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  15. The value of sum(r=1)^(n+1)(sum(k=1)^n^kC(r-1)) (where r, k, n in N) i...

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  17. Coefficient of x^50 in (1+x)^(1000)+2x(1+x)^(999)+3x^2(1+x)^(998)+.......

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  18. C0/2-C1/3+C2/4-C3/5+.... is equal to

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

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  20. Let (1+x^(2))^(2) (1+x)^(n) = underset(k = 0)overset(n+4)suma(k)x^(k)....

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