Over a finite field `k`, the number of `f : ι → k` vanishing on `A` and nonvanishing on a disjoint `B` is `(|k| - 1)^|B| · |k|^(|ι| - |A|

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Over a finite field `k`, the number of `f : ι → k` vanishing on `A` and nonvanishing on a disjoint `B` is `(|k| - 1)^|B| · |k|^(|ι| - |A| - |B|)`. · Prove2Me