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The coefficient of x^(17) in the expansi...

The coefficient of `x^(17)` in the expansion of (x-1)(x-2)……..(x-18) is

A

342

B

(-171)

C

171/2

D

684

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The correct Answer is:
B
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  4. The number of terms in the expansion of (a+b+c)^n where ninN is

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  6. The greatest coefficient iin the expansion of (x+y+z+t)^(15) is

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  7. If (1+x)^n=sum(r=0)^n .^nCr x^r then sum(r=m)^n .^rCm is equal to

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  8. Let n be a positive integer such that (1+x+x^2)^n=a0+a1x+a2x^2+…….+a(2...

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  10. If n in I^+ the value of sum(k=1)^n k^3 (^nCk)/(^nC(k-1))^2

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  11. In a triangle ABC the value of sum(r=0)^(50) ^(50)Cr a^rb^(50-r) cos(R...

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  12. The value of "^30C0.^30C10+^30C1.^30C11+^30C2.^30C(12)+……+^30C(20) . ^...

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  13. The number of distinct terms in the expansion of (x^3+1+(1/x^3)): xinK...

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  14. The number of integral of integral terms in the expansion of (17^(1/3)...

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  15. The expression (x+sqrt(x^3-1))^7+(x-sqrt(x^3-1))^7 is a polynomial of ...

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  16. The coefficient of x^(50) in (1+x)^(41)(1-x+x^2)^(40)is

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  17. The coefficient of x^n in the expansion (2x+3)^n-(2x+3)^(n-1)(5-2x)+(2...

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  18. The coefficient of x^(65) in the expansion of (1+x)^(131)(x^2-x+1)^(30...

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  19. Remainder when 5^(40) is divided by 11.

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  20. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

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