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(C(1))/(C(0))+(2.C(2))/(C(1))+(3.C(3))/(...

`(C_(1))/(C_(0))+(2.C_(2))/(C_(1))+(3.C_(3))/(C_(2))+ . . .+(20.C_(20))/(C_(19))=`

A

180

B

210

C

240

D

280

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The correct Answer is:
B
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If C_(0), C_(1), C_(2),……, C_(20) are the binomial coefficients in the expansion of (1+x)^(20) , then the value of (C_(1))/(C_(0))+2(C_(2))/(C_(1))+3(C_(3))/(C_(2))+……+19(C_(19))/(C_(18))+20(C_(20))/(C_(19)) is equal to (where C_(r) represetns .^(n)C_(r) )

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

(C_(0))/(1)+(C_(1))/(2)+C_(2)/(3)+.........+(C_(10))/(11)=

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AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
  1. Consider the following statements S(1): The total of terms in (x^(2)...

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  2. If (1+x)^(n)=underset(r=0)overset(n)sumC(r).x^(r), then (1+(C(1))/(C...

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  3. (C(1))/(C(0))+(2.C(2))/(C(1))+(3.C(3))/(C(2))+ . . .+(20.C(20))/(C(19)...

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  4. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//2...

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  5. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

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  6. the value of x , for which the 6th term in the expansions of[2^log2sqr...

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  7. If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a(r)x^(r)(1-x)^(3n-2r), t...

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

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

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

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

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

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

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

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

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  17. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

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

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

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

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