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The sum of the coefficients in the expa...

The sum of the coefficients in the expansion of `(1 - x + x^(2) - x^(3))^(n)` ,is

A

0

B

`2^(n)`

C

`3^(n)`

D

`4^(n)`

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Verified by Experts

The correct Answer is:
A
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OBJECTIVE RD SHARMA-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise
  1. If x^n occurs in the expansion (x+1//x^2)^n , then the coefficient of ...

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  2. If n > 1 is an integer and x!=0, then (1 +x)^n-nx-1 is divisible by

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  3. The number of terms with integral coefficients in the expansion of (...

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  4. The term independent of x in the expansion of (1 - x)^(2) (x + (1)/(...

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  5. The range of values of the term independent of x in the expansion ...

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  6. If the sum of the coefficient in the expansion of (alpha x^(2) - 2x...

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  7. If the coefficients of rth and (r+1)t h terms in the expansion of (3+7...

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  8. The sum of the coefficients in the expansion of (1 - x + x^(2) - x^(3...

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  9. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

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  10. If n > 3, then x y C0-(x-1)(y-1)C1+(x-2)(y-2)C2-(x-3)(y-3)C3+...........

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  11. The coefficient of x^(5) in the expansion of (1+x^(2))/(1 +x) ,|x| ...

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  12. Find the digit at the unit's place in the number 17^1995 + 11^1995-7^1...

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  13. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

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  14. Let (1 + x)^(n) = sum(r=0)^(n) a(r) x^(r) . Then ( 1+ (a(1))/(a(0)))...

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  15. If n is an odd natural number and ""^(n)C(0)lt ""^(n)C(1)lt ""^(n)C...

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  16. The coefficient x^5 in the expansion of (2 - x + 3x^2)^6 is

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  17. 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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  18. The coefficient of x^(8) y^(6) z^(4) in the expansion of (x + y + z)...

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  19. If sum(r=0)^(2n) ar(x-100)^r= sum(r=0)^(2n) br(x-101)^r and ak=(2^k)/(...

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  20. The value of 1xx2xx3xx4+2xx3xx4xx5+3xx4xx5xx6+…+n(n +1) (n +2) (n +...

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