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sum(r=0)^(10) r.^(10)C(r),3^(r).(-2)^(10...

`sum_(r=0)^(10) r.^(10)C_(r),3^(r).(-2)^(10-r)` is -

A

20

B

10

C

30

D

300

Text Solution

Verified by Experts

The correct Answer is:
C
`underset(r=0)overset(10)sumrxx((10)/(r))xx3xx3^(r-1)xx(-2)^(10-r)xx""^(9)C_(r-1)`
`rArr10.3underset(r=0)overset(10)sum""^9C_(r-1)3^(r-1).(-2)^(9-(r-1))`
`rArr 30[3-2]^(10)=30xx1=30`
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