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The coefficient of x^ny^n in the expansi...

The coefficient of `x^ny^n` in the expansion of `{(1+x)(1+y)(x+y)}^n` is

A

`sum_(r=0)^n C_r^2`

B

`sum(r=0)^n C_r ^3`

C

`sum_(r+s=0)^n ^nC_r ^nC_s ^2`

D

none of these

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The correct Answer is:
B
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  4. If log(1-x+x^2)=a1x+a2x^2+a3x^3+……… then a3+a6+a9+……… is equal to

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  12. If (1+x)^n=sum(r=0)^n .^nCr x^r then sum(r=m)^n .^rCm is equal to

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  13. Let n be a positive integer such that (1+x+x^2)^n=a0+a1x+a2x^2+…….+a(2...

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  14. Give the integers rgt1 , ngt2 and c0-efficients of (3r)^th and (r+2)^(...

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  15. If n in I^+ the value of sum(k=1)^n k^3 (^nCk)/(^nC(k-1))^2

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  16. In a triangle ABC the value of sum(r=0)^(50) ^(50)Cr a^rb^(50-r) cos(R...

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  17. The value of "^30C0.^30C10+^30C1.^30C11+^30C2.^30C(12)+……+^30C(20) . ^...

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  18. The number of distinct terms in the expansion of (x^3+1+(1/x^3)): xinK...

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  19. The number of integral of integral terms in the expansion of (17^(1/3)...

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  20. The expression (x+sqrt(x^3-1))^7+(x-sqrt(x^3-1))^7 is a polynomial of ...

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