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The coefficient of x^n in (1+x)^(101)(1-...

The coefficient of `x^n` in `(1+x)^(101)(1-x+x^2)^(100)` is non zero, then `n` cannot be of the form a. `3r+1` b. `3r` c. `3r+2` d. none of these

A

`3lambda + 1`

B

`3lambda`

C

`3lambda+2`

D

`4lambda+1`

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To solve the problem, we need to analyze the expression \( (1+x)^{101} (1-x+x^2)^{100} \) and determine the possible forms of \( n \) such that the coefficient of \( x^n \) is non-zero. ### Step 1: Expand the expression We start with the expression: \[ (1+x)^{101} (1-x+x^2)^{100} \] ...
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