Answer
101 terms.
Work Step by Step
We know by Binomial theorem
$(x+y)^{n}$ = C(n,0)$x^{n}$ + C(n,1)$x^{n-1}$$y^{1}$ .... + C(n,n)$y^{n}$ .
In the expansion of $(x+y)^{n}$ we have $n+1$ different terms .
So in expansion of $(x+y)^{100}$ we have 101 different terms.
