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The coefficient of x^4 in the expansion ...

The coefficient of `x^4` in the expansion of `(1+x+x^2+x^3)^11` is

A

990

B

605

C

810

D

none of these

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The correct Answer is:
A
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  2. The coefficient of x^3 in the expansion of (1-x+x^2)^5 is

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  3. The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is

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  4. The greatest term (numerically) in the expansion of (3-5x)^11 when x=1...

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  5. Which of the following expression is divisible by 1225?

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  6. The value of where ^nCr is

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  7. If the sum of odd numbered terms and the sum of even numbered terms in...

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  8. If P(n)=2+4+6+…..+2n ninN then P(k) =k(k+1) implies P(k+1)=(k+1)(k+2) ...

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  9. The value of the natural numbers n such that the inequality 2^ngt2n+1 ...

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  10. When P is a natural number then p^(n+1)+(p+1)^(2n-1) is divisible by

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  11. Let P(n) denote the statement that n^2+n is odd. It is seen that P(n) ...

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  12. For a positive integer n let a(n)=1+1/2+1/3+1/4+….+1/((2^n)-1) Then

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  13. Let S(k) =1+3+5+……+(2k-1)=3+k^2 Then which of the following is true:

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  14. Statement-1 for every natural number nge2 1/sqrt1 +1/sqrt2 +…..+1/sqrt...

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  15. (1+x)^n-nx-1 is divisible by (where n in N)

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  16. Statement-1 : 11^(25) +12^(25) when divided by 23 leaves the remainder...

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  17. The coefficient of x^(53) in the expansion of sum(m=0)^(100) ^100Cm(x-...

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  18. The coefficient of y in the expansion of (y^2+(c/y))^5 is

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  19. The term independent of x in (x^2-(1/x))^9 is

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  20. The coefficients of x^p and x^q in the expansion of (1+x)^(p+q) are

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