# Chapter 12 - Counting and Probability - Section 12.2 Permutations and Combinations - 12.2 Assess Your Understanding - Page 875: 7

$P(6,2) = 30$

#### Work Step by Step

Use he formmula $P=\dfrac{n!}{(n-r)!}$ to obtain: $\require{cancel} P(6,2) \\=\dfrac{6!}{(6-2)!} \\=\dfrac{6\times5\times4!}{4!} \\=\dfrac{6\times5\times\cancel{4!}}{\cancel{4!}} \\=6\times5 \\=30$

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