Permutations Worksheet

                     Lesson 1

Problem:    Evaluate 11! / ₅P₅

Step 1:     11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 × 4 × 3 × 2 × 1 = 39916800.0

Step 2:  ₅P₅ = 5! / (5 – 5)! = 5! / 0! =  5 x 4 x 3 x 2 × 1 / 0 = 120

Step 3:     11! / ₅P₅ = 39916800 / 120 = 332640.0

                                                             Step 4: Answer: 332640.0

                                                             Try two practice problems:

A.

Evaluate 5! / 5P1

B.

Evaluate 7P7 / 6!

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