I need to count the number of monomials of degree $n$ in $k$ variables, $x_1,\ldots ,x_k$, that contain at least one variable with a power of 1, . The monomials need not include all the variables. Their powers just need to some to $n$ and they must be divisible by $x_i$, but not $x_i^2$, for example some $x_1x_2^2x_3x_4^6$.i$.
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Number of A Subset of MonomialsI need to count the number of monomials of degree $n$ in $k$ variables that contain at least one variable with a power of 1, for example $x_1x_2^2x_3x_4^6$.
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