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Find the coefficient of x^5""in(x+3)^8...

Find the coefficient of `x^5""in(x+3)^8`

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The correct Answer is:
N/a
Let the (r+1)th term in the expansion of `(x+3)^(8)` contains `x^(5)`.
`:. T_((r+1))=^(8)C_(r)(x)^{8-r).(3)^(r)`
`"Let " x^(8-r) =x^(5) rArr 8-r=5`
`rArr " "r=8-5=3`
`"Now " T_(3+1)=^(8)C_(3)x^(5)(3)^(3)`
Clearly the coefficient of `x^(5) =^(8) C_(3).(3)^(3)`
`=(8xx7xx6)/(3xx2xx1).27`
`=56xx27 =1512`
`:.` coefficient of `x^(5)` in the expansion of `(x+3)^(8)=1512`
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    A
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    B
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    C
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