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If the coefficients of three consecutive...

If the coefficients of three consecutive terms in the expansion of `(1 + x)^(n)` are 165,330 and 462 respectively , the value of n is is

A

11

B

12

C

13

D

14

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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  3. If the coefficients of three consecutive terms in the expansion of (1 ...

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  4. Find sum of sum(r=1)^n r . C (2n,r) (a) n*2^(2n-1) (b) 2^(2n-1) (c) 2^...

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  5. In the expansion of (1+x)^(50), find the sum of coefficients of odd po...

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  6. If (1+x) ^(15) =a(0) +a(1) x +a(2) x ^(2) +…+ a(15) x ^(15), then the ...

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  7. If ( 1 + x - 2x^(2))^(20) = sum(r=0)^(40) a(r) x^(r) , then find ...

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  8. ""^(n-2)C(r)+2""^(n-2)C(r-1)+""^(n-2)C(r-2) equals :

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  9. ""^(15)C(8) + ""^(15)C(9) - ""^(15)C(6) - ""^(15)C(7) is equal to ………....

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  10. If ""^(18)C(15)+2(""^(18)C(16))+""^(17)C(16)+1=""^(n)C(3), then n is e...

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

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  12. sum(r=0)^(n-1) (""^(n)C(r))/(""^(n)C(r) + ""^(n)C(r+1)) is equal to

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  13. Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)...

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  14. Statement - 1 sum(r=0)^(n) (r + 1) ""^(n)C(r) = (n+2)*2^(n-1) Stat...

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  15. if n>=2, ""^(n+1)C(2)+2(""^(2)C(2)+""^(3)C(2)+""^(4)C(2)+....+""^(n)...

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  16. In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...

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  17. If s(n)=sum(r=0)^(n)(1)/(.^(n)C(r))and t(n)=sum(r=0)^(n)(r)/(.^(n)C(r)...

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  18. The sum ""^(20)C(0)+""^(20)C(1)+""^(20)C(2)+……+""^(20)C(10) is equal t...

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  19. Find the coefficient of x^5 in (1+2x+3x^2...........)^(-3/2)

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  20. The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (20 !)/(...

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