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The sum ""^(40)C(0) + ""^(40)C(1)+""^(40...

The sum `""^(40)C_(0) + ""^(40)C_(1)+""^(40)C_(2)+…+""^(40)C_(20) `is equal to

A

`2^(40) + (40!)/((20!)^(2))`

B

`2^(39)+(1)/(2) (40!)/((20!)^(2))`

C

`2^(39) + ""^(40)C_(20)`

D

none of these

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-BINOMIAL THEOREM AND ITS APPLCIATIONS -Chapter Test
  1. The coefficient of x^20 in the expansion of (1+x^2)^40.(x^2+2+1/x^2)^-...

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  2. The sum of the binomial coefficients of [2x+1/x]^n is equal to 256. Th...

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  3. The sum ""^(40)C(0) + ""^(40)C(1)+""^(40)C(2)+…+""^(40)C(20) is equal ...

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  4. If (1 + x)^(2n) = a(0) + a(1) x + a(2) x^(2) +… + a(2n) x^(2n), then ...

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  5. if x is a positive real number less than unity, then first negative te...

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  6. The number of integral terms in the expansion of (sqrt(3)+5 sqrt8)^(25...

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  7. find the term independent of x in the expansion of (sqrtx/sqrt3+sqrt3/...

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  8. If the coefficient of x^(2) " and "x^(3) are equal in the expansion o...

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  9. Given positive integers r>1,n> 2, n being even and the coefficient of...

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  10. If in the expansion of (1 + x)^(20), the coefficients of r^(th) and ...

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  11. The coefficient of x^(5) in the expansion of (x +3)^(6),is

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  12. Coefficient of x^(n) in the expansion of ((1+x)^(n))/(1-x)

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  13. The sum of the rational terms in the expansion of (2^(1//5) + sqrt(...

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  14. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6(2/(sqrt(2x^2+1)+sqrt(2x^2...

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  15. Find the sum of the coefficients of the first, second, and third terms...

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