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If the coefficients of x^(7) and x^(8) i...

If the coefficients of `x^(7) and x^(8)` in `(2+(x)/(3))^(n)` are equal, then n is

A

56

B

55

C

45

D

15

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The correct Answer is:
B
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficients of x^(p) and x^(q) (p and q are positive integers in ...

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  2. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

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  3. If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...

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  4. The total number of terms in the expansion of (x+a)^(51)-(x-a)^(51) af...

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  5. If x, y and r are positive integers , then : ""^xCr+""^rC(r-1)""^yC1+^...

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  6. C(0)-C(1)+C(2)-C(3)+ . . .+(-1)^(n)C(n) is equal to

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  7. If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...

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  8. If x^(r) occurs in the expansion of (x+(1)/(x))^(n), then is coefficie...

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  9. If (1+x)^(n)= C(0)+C(1).x+C(2). x^(2)+.. . C(n). x^(n) in the usual n...

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  10. nCr+2. nC(r-1)+nC(r-2)=

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  11. If the coefficients of r^(th) and (r+1)^(th) term in the expansion o...

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  12. Sum of the odd binomial coefficients of (1+x)^(50) is

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  13. If (1+x+x^(2))^(n) = a(0)+a(1) x+a(2) x^(2)+.. .+a(2 n) x^(2 n) then ...

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  14. The coefficient of the term independent of x in the expansion of (sqrt...

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  15. If C(0),C(1),C(2), . . . .,C(n) are binomial coefficients of order n,...

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  16. The sum of the coefficients in the expansion of (1+x-3x^(2))^(3148)

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  17. The middle term in the expansion of((x-(1))/(x))^(18) is...

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  18. If the value of C(0)+2C(1)+3C(2)+ . . .+(n+1)C(n)=576, then n is

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  19. The ninth term of the expansion((3x) (-1)/(2x))^(8) is

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  20. The coefficient of x^(5) in (1+x^(2))^(5)(1+x)^(4) is

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