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Solve for P_3
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5P_{3}=\frac{120}{\left(5-3\right)!}
The factorial of 5 is 120.
5P_{3}=\frac{120}{2!}
Subtract 3 from 5 to get 2.
5P_{3}=\frac{120}{2}
The factorial of 2 is 2.
5P_{3}=60
Divide 120 by 2 to get 60.
P_{3}=\frac{60}{5}
Divide both sides by 5.
P_{3}=12
Divide 60 by 5 to get 12.