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underset(r=1)overset(n)(sum)r(.^(n)C(r)-...

`underset(r=1)overset(n)(sum)r(.^(n)C_(r)-.^(n)C_(r-1))` is equal to

A

`2^(n)+1n+1`

B

`2^(n)-n+1`

C

`n-2^(n)+1`

D

`n-2^(n)-1`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
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  2. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

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  3. The coefficient of x^1007 in the expansion (1+x)^(2006)+x(1+x)^(2005)+...

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  4. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

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  5. In the expansion of (x +a)^(n) the sum of even terms is E and that ...

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  6. The sum of the last eight coefficients in the expansion of (1 + x)^16 ...

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  7. Find the coefficient of x^3y^4z^5 in the expansion of (xy+yz+zx)^6

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  8. In the expansion of (3x+2y-z)^(8), the coefficients of x^(2)y^(3)z^(3)...

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  9. If n is ann integer greater than 1, then a-^(n)C(1)(a-1)+.^(n)C(2)(a...

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  10. (C(0))/(1)+(C(1))/(2)+(C(2))/(3)+ . . . .+(C(100))/(101) equals

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  11. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

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  12. The coefficient of x^(n) in the polynomial (x+""^(2n+1)C(0))(X+""^(2n+...

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  13. If C(r) stands for .^(n)C(r)=(n!)/(r!n-r!) and underset(r=1)overset(n)...

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  14. If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C(r)), then underset(r=0)ov...

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  15. if x+y=1, then underset(r=0)overset(n)(sum)r^(2).^(n)C(r)x^(r)y^(n-r) ...

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  16. underset(r=1)overset(n)(sum)r(.^(n)C(r)-.^(n)C(r-1)) is equal to

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  17. The expression ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-...

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  18. If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007!, then value...

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  19. Let R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w h e r e[] denotes the greatest...

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  20. Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(1...

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