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20 C(0)+20 C(1)+20 C(2)+.. .+20 C(10) =...

`20 C_(0)+20 C_(1)+20 C_(2)+.. .+20 C_(10) `=

A

`2^(20)+(20 !)/((10 !)^(2)) `

B

`2^(19)+(20 C_(10))/(2) `

C

`2^(19)+20 C_(10) `

D

`2^(19)-(1)/(2)(20 !)/((10 !)^(2)) `

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. Sum to (n+1) terms of the series: (C(0))/(2)-(C(1))/(3)+(C(2))/(4)-(C(...

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  2. Value of 2C(0)+(2^(2))/(2)C(1)+(2^(3))/(3)C(2)+ . . .+(2^(11))/(11)C(1...

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  3. 20 C(0)+20 C(1)+20 C(2)+.. .+20 C(10) =

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

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

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  6. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

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  7. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(16) co...

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  8. The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) i...

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  9. If the coefficient of 4^(th) term in the expansion of (x+(alpha)/(2...

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  10. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

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  11. The coefficient of x^(13) in the expansion of (1-x)^(5)(1+x+x^(2)+x...

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  12. The coefficient of (1)/(y^(2)) in (y+(c^(3))/(y^(2)))^(10) is

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  13. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(10) con...

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  14. The 7^(th) term in ((1)/(y)+y^(2))^(10) , when expanded in descendin...

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  15. The term independent of x in (1+x)^(m)(1+(1)/(x))^(n)

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  16. The 6^(th) term for the end of the expansion of (3 x-(1)/(x^(2)))^(1...

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  17. The last term in the binomial expression of (root(3)(2)-(1)/(sqrt(2)))...

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  18. The number of non zero terms in the expansion of (1+2sqrt(3) x)^(9)+...

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  19. The number of terms in the expansion of (sqrt(5)+4sqrt(11))^(124) wh...

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  20. If r^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equ...

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