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The sum of all the coefficients of the t...

The sum of all the coefficients of the terms in the expansion of `(x+y+z+w)^(6)` which contain `x` but not `y`, is (a) `3^(6)` (b) `2^(6)` (c) `3^(6)-2^(6)` (d) none of these

A

`3^(6)`

B

`2^(6)`

C

`3^(6)-2^(6)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` The sum of coefficients of terms not containing `y=3^(6)` (putting `x=z=w=1` and `y=0`)
The sum of coefficients of term not containing both `x` and `y=2^(6)` (putting `z=w=1` and `x=y=0`)
So the required number `=3^(6)-2^(6)`
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