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The coefficient of x^(10) in the expansi...

The coefficient of `x^(10)` in the expansion of `(1+x^2-x^3)^8` is `476` b. `496` c. `506` d. `528`

A

476

B

496

C

506

D

528

Text Solution

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The correct Answer is:
A
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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
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  2. The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (20 !)/(...

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  3. The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. ...

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  4. The reamainder left out when 8^(2n) - (62)^(2n+1) is divided by 9 is

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  5. If ak is the coefficient of x^k in the expansion of (1+x+x^2)^n for k ...

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  6. The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b....

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  7. The coefficient of x^(n) in the polynomial (x+.^(n)C(0))(x+3.^(n)C(1))...

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  8. If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,then ar is a.(.^nC2)^2 b. .^n ...

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  9. The value of sum(r=0)^nsum(s=0)^nsum(t=0)^nsum(u=0)^n(1) is

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  10. If n is an even natural number , find the value of sum(r=0)^(n) ((...

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  12. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

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  13. The remainder, if 1+2+2^2++2^(1999) is divided by 5 is.

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  14. The value of ((""^(50)C(0))/(1)+(""^(50)C(2))/(3)+(""^(50)C(4))/(5)+…....

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  15. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  16. Let S1=sum(j=1)^(10)j(j-1)^(10)Cj ,""S2=sum(j=1)^(10)j""^(10)Ci "andS"...

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  17. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

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