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Question

The coefficient of x3 in (x5+3x3)6 is

A
120
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B
420
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C
540
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Solution

The correct option is C 540
Tr+1=6Cr(x52)6r(3x32)r=6Cr 3rx155r23r2=6Cr3rx154r154r=3 or r=3Tr+1=T63+1C3(3)3x154(3)=20×27×+x3=540x3 coefficient ofx3=540

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