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sum(r=0)^(n).^(n)C(r)4^(r)=.............

`sum_(r=0)^(n).^(n)C_(r)4^(r)=..........`

A

`4^(n)`

B

`5^(n)`

C

`5^(-n)`

D

`4^(-n_`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-BINOMIAL THEOREM -TEXTBOOK BASED MCQS
  1. Dividing 5^(99) by 13 , the remainder is …………

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  2. 9^(7) +7^(9) is divisible by …………

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  3. sum(r=0)^(n).^(n)C(r)4^(r)=..........

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  4. If (1+2x-3x^(2))^(5)=1+a(1)x+a(2)x^(2)+….+a(10)x^(10) then the value o...

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  5. (2+sqrt(3))^(4)+(2-sqrt(3))^(4) = x+ ysqrt(3) then y = ………..

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  6. In the expansion of (1+x)^(n) if the coefficients of the terms 5^(th) ...

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  7. The constant term in the expansion of (x-1/(3x^(2)))^(9) is the ……… te...

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  8. In the expansion of (1+x)^(21)+(1+x)^(22) +…….+(1+x)^(30) , the coeffi...

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  9. In the expansion of (x+a)^(100)+(x-a)^(100) , there are ………… terms

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  10. The middle term in the expansion (x^(2)-1/(2x))^(20) is r than (r+3)^(...

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  11. In the expansion of (x^(4) -1/(x^(3)))^(15) if in the r^(th) temr , t...

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  12. If 5^(th),6^(th) and 7^(th) terms in the expansion of (1+y)^(n) are in...

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  13. If in the expansion of (a+b)^(n) , (T(2))/(T(3)) is equal to (T(3))/(...

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  14. The constant term in the expansion of (1/2x^(1/3)+x^(-1/5))^(8) is ……...

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  15. The coeficient of (x^(7)y^(3)) in the expansion of (x-y)^(10)- th...

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  16. [(sqrt(3)+1)^(6)]= ……… Where "[ ]" is a greatest integar function .

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  17. 10 C(1)+10 C(3) +10 C(5) +10 C(7) +10 C(9) = …….

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  18. (1+x-2x^(2))^(6)=1+a(1),x+a(2)x^(2)+….+a(12)^(12) then the value of a...

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  19. In the expansion of (1+x^(2))^(5)(1+x)^(4) , the coefficient of x^(5) ...

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  20. In the expansion of (a+b)^(n) , the sum of the coefficient of x^(5) i...

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