Infinite Geometry -

Permutations

Name___________________________________

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Period____ Find the number of unique permutations of the letters in each word. 1) THERMOMETER

2) FEEBLENESSES

3) SLEEPLESSLY

4) INTERPRETER

Evaluate each expression. 5)

10 P 4

7) 6 P 5

6) 6 P 6

8) 8 P 6

Find the number of possibilities in each scenario. 9) A team of 15 softball players needs to choose a captain and co-captain.

10) There are 50 applicants for two jobs: computer programmer and software tester.

11) The student body of 110 students wants to elect a president and vice president.

12) A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.

13) You are setting the combination on a five-digit lock. You want to use the numbers 38175 but don't care what order they are in.

14) The batting order for eight players on a 11 person team.

15) Amanda has homework in six subjects. She is deciding what order to complete them in.

16) There are 230 politicians at a meeting. They each give a Valentine's Day card to everyone else. How many cards were given?

Worksheet by Kuta Software LLC ©r r2w0T1p5m SK_umttax QS^oufNt[wraxr_eW zLtLGCe.c L EAjlyl_ FrzihgchytDsh qrVeNsve]rNvTerdh.I E rMaa`d]eb FwriGtBhW UINnLfPiznKictoeK VGdeBopmfeFtirsyd.

Permutations

Name___________________________________

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Period____ Find the number of unique permutations of the letters in each word. 1) THERMOMETER 831,600

3) SLEEPLESSLY 184,800

2) FEEBLENESSES 665,280

4) INTERPRETER 554,400

Evaluate each expression. 5)

10 P 4

5,040

7) 6 P 5 720

6) 6 P 6 720

8) 8 P 6 20,160

Find the number of possibilities in each scenario. 9) A team of 15 softball players needs to choose a captain and co-captain. 210 11) The student body of 110 students wants to elect a president and vice president. 11,990

10) There are 50 applicants for two jobs: computer programmer and software tester. 2,450

12) A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals. 59,280

13) You are setting the combination on a five-digit lock. You want to use the numbers 38175 but don't care what order they are in.

14) The batting order for eight players on a 11 person team. 6,652,800

120 15) Amanda has homework in six subjects. She is deciding what order to complete them in. 720

16) There are 230 politicians at a meeting. They each give a Valentine's Day card to everyone else. How many cards were given? 52,670 Worksheet by Kuta Software LLC

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