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If the sum of coefficients in the expans...

If the sum of coefficients in the expansion of `(x-2y+3z)^n` is 128, then find the greatest coefficient in the expansion of `(1+x)^ndot`

Text Solution

Verified by Experts

The correct Answer is:
`.^(7)C_(3)` or `.^(7)C_(4)`
Sum of the coefficient in the expansion of
`(x-2y+3z)^(n)` is `(1-2+3)^(2) = 2^(n)` (putting `x = y = z = 1`)
`:. 2^(n) = 128` or `n = 7`
Therefore, the greatest coefficient in the expansion of `(1+x)^(7)` is `.^(7)C_(3)` or `.^(7)C_(4)` because both are equal to `35`.
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