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The coefficient of x^5 in the expansion ...

The coefficient of `x^5` in the expansion of `(x^2 - x - 2)^5` is

A

`-83`

B

`-82`

C

`-81`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
  1. The coefficient of x^n in expansion of (1+x) (1-x)^n is

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  2. The coefficient of x^11 in the expansion of (1- 2x + 3x^2) (1 + x)^11 ...

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  3. The coefficient of x^5 in the expansion of (x^2 - x - 2)^5 is

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  4. The coefficient of x^4 in (1+x+x^2+x^3)^11 is

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  5. Coefficient of x^5 in ( 1+ x)^21 + (1 + x)^22 + …….+ (1 + x)^30 is

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  6. Coefficient of a^8b^6c^4 in (a+b+c)^18 is

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  7. The coefficient of x^9 in (x - 1)(x - 4) ( x- 9) ……. ( x -100) is

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  8. The term in (x + y)^50 which is greatest in absolute value if |x| = sq...

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  9. The greatest integer which divides the number 101^100 - 1 is

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  10. 9^7 + 7^9 is divisible by

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  11. Larger of 99^50+100^50 and 101^50

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  12. The remainder left out when 8^(2n) - 6(2)^( 2n+1) is divided by 9 is

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  13. Integral part of 7 + 4sqrt3)^n is (n in N)

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  14. Integral part of (7 + 5sqrt2)^(2n+1) is (n in N)

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  15. If (6 sqrt6+14)^(2n+1)=R and F=[R], where [R] denotes the greatest int...

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  16. The integral part of (sqrt2+1)^6 is

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  17. ""^(n) C(r+1)+2""^(n)C(r) +""^(n)C(r-1)=

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  18. If Ck is the coefficient of x^k in the expansion of (1 + x)^2005 and i...

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  19. The sum of the series ""^20C0 - ""^20C1 + ""^20C2 - ""^20C3 +…….""^20C...

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  20. If S(n) = underset (r=0) overset( n) sum (1) /(""^(n) C(r)) and T...

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