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Find the coefficient of x^(13) in the ex...

Find the coefficient of `x^(13)` in the expansion of `(1-x)^5xx(1+x+x^2+x^3)^4dot`

A

1

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
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  3. Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x...

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  4. If the term independent of x in the (sqrt(x)-k/(x^2))^(10) is 405, the...

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  5. Find the positive integer just greater than (1+0. 0001)^(10000)dot

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  8. In the binomial expansion of (a - b)^n , n ge 5 the sum of the 5th ...

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  10. Find the sum +^(10)C1+^(10)C3+^(10)C5+^(10)C7+^(10)C9dot

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  11. Let n in N. If (1+x)^(n)=a(0)+a(1)x+a(2)x^(2)+…….+a(n)x^(n) and a(n)-3...

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  12. The greatest coefficient in the expansion of (1+x)^(2n) is

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  13. If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a(2n)x^(2n),\ find the value o...

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  14. The value of sum(i=0)^(n)""^(n-i)C(r),rin[1,n]capsquare is equal to :

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  15. The value of (""^(47)C(4))/(""^(57)C(4))+sum(j=0)^(3)(""^(50-j)C(3))/(...

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  16. If the 6th term in the expansion of(1/(x^(8/3))+x^2(log)(10)x)^8 is 56...

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  17. Let Tn denote the number of triangles, which can be formed using th...

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  18. (sum(r=0)^(10) ""^(10)C(r) ) (sum(r=0)^(10)(-1)^(m) (""^(10)C(m))/(2^(...

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  19. The coefficient of x^n in (1+x)^(101)(1-x+x^2)^(100) is non zero, then...

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  20. The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (n !)...

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