Problem #3

How many polynomials P(x1, x2, ..., xm) of degree n with m variables are there such that all of its coefficients are either 0 or 1 and

P(x1, x2, ..., xm) = 1 whenever x1 + x2 + ... xm = 1?

Source: Murray S. Klamkin

No correct solutions have been submitted, yet.

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