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

Question

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

`sum_(r=0)^(10) r.^(10)C_(r),3^(r).(-2)^(10-r)` is -
A. 20
B. 10
C. 30
D. 300

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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`

4 views Answered 2023-02-05 15:29