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Answer the following question based on a...


Answer the following question based on above passage:
The coefficient of `x^99` in the expansion of (x-1)(x-2)......(x-99)(x-100) is

A

-5050

B

4950

C

-5000

D

None of these

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The correct Answer is:
A
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. Let an=(1000)^n/(n!) for n in N. Then an is greatest, when

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  2. Which of the following is/are correct

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  3. Answer the following question based on above passage: The coefficient...

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  4. Answer the following question based on above passage: The coefficient...

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  5. Let P=sum(r=1)^(50)(^(50+r)Cr(2r-1))/(^(50)Cr(50+r)), Q=sum(r=1)^(50)(...

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  6. Let P=sum(r=1)^(50)((50+r)Cr(2r-1))/((50)Cr(50+r)), Q=sum(r=1)^(50)(50...

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  7. In reference to the expansion (1+x)^n=sum(r=0)^nCrx^r, n in N, match t...

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  8. Match List - I with List-II

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  9. Match List - I with List-II

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  10. If 6^83+8^83 is divided by 49, then the sum of the digits of remainder...

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  11. Given (1-2x+5x^2-10x^3)(1+x)^n=1+a1x+a2x^2+.... and that a1^2=2a2, the...

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  12. The digit in the units place of the decimal representation of 7^1000 i...

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  13. The remainder, if 1+2+2^2+2^3+....+2^1999 in divided by 5 is

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  14. The sum of possible values of x for which the fifth term in the expans...

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  15. Find the coefficient of x^24 in (x^2+(3a)/x)^15

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  16. If in the expansion of (1+x)^43 the coefficient of (2r+1)^(th) term in...

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  17. The coefficient of the middle term of the expansion of (1-2x+x^2)^n is

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  18. Find the coefficient of x^4 in the expansion of (1+x-2x^2)^7

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  19. If the coefficients of four consecutive terms in the expansion of (1+x...

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  20. If (1+x)^n=sum(r=0)^nCrx^r prove that (2^2C0)/(1 . 2)+(2^3C1)/(2 . 3)+...

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