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General Term of Binomial Expansion

The sum of al...

Question

The sum of all the coefficient of those terms in the expansion of $(a + b + c + d)^{8}$ which contains b but not c

A

6305

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B

6561

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C

256

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D

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Solution

The correct option is A 6305
Sum of the coefficients of the terms not containing c is $3^{8}$ and of the term not containing b and c both is $2^{8}$ , so required sum = $3^{8} - 2^{8}$ .

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