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If f(x+y)=f(x)+f(y)-x y-1 for all x, y, ...

If `f(x+y)=f(x)+f(y)-x y-1` for all `x, y`, and `f(1) = 1` then the number of solutions of `f(n) = n, n in N`, is
(a) one
(b) two
(c) four
(d) none of these

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