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Explicação passo a passo:

A₂₀,₄ = ?

Arranjo simples

[tex]A_{n,p}=\frac{n!}{(n-p)!} \\\\\\A_{20,4}=\frac{20!}{(20-4)!} \\\\A_{20,4}=\frac{20!}{16!} \\\\A_{20,4}=\frac{20*19*18*17*16!}{16!} \\\\A_{20,4}=20*19*18*17\\\\A_{20,4}=116280[/tex]