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If C(r) stands for "^(n)C(r), then the ...

If `C_(r)` stands for `"^(n)C_(r),` then the
coefficient of `lambda^(n)mu^(n)` in the
expansion of
`[(1+ lambda)(1+mu)(lambda+mu)]^(n)` is :

A

`sum underset(r=0)overset(n)" C_(r)^(2)`

B

`sum underset(r=0)overset(n)" C_(r+2)^(2)`

C

`sum underset(r=0)overset(n)" C_(r+3)^(2)`

D

`sum underset(r=0)overset(n)" C_(r)^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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