Algebra 1 - MathnMind

14-2
NAME ______________________________________________ DATE______________ PERIOD _____
Practice
Permutations and Combinations
Determine whether each situation involves a permutation or combination. Explain
your reasoning.
1. choosing two dogs from a litter of two males and three females
2. a simple melody formed by playing the notes on 8 different piano keys
3. a selection of nine muffins from a shelf of twenty-three
4. the selection of a four-letter acronym (word formed from the initial letters of other
words) in which two of the letters cannot be C or P
5. choosing an alphanumeric password to access a website
Evaluate each expression.
6. 11 P 3 7. 6 P 3 8. 15 P 3
9. 10 C 9 10. 12 C 9 11. 7 C 3
12. 7 C 4 13. 12 C 4 14. 13 P 3
15. (8 C 4)(8 C 5) 16. (17 C 2)(8 C 6) 17. (16 C 15)(16 C 1)
18. (8 P 3)(8 P 2) 19. (5 P 4)(6 P 5) 20. (13 P 1)(15 P 1)
21. (10 C 3)(10 P 3) 22. (15 P 4)(4 C 3) 23. (14 C 7)(15 P 3)
24. SPORT In how many orders can the top five finishers in a race finish?
JUDICIAL PROCEDURE The court system in a community needs to assign 3 out of
8 judges to a docket of criminal cases. Five of the judges are male and three are
female.
25. Does the selection of judges involve a permutation or a combination?
26. In how many ways could three judges be chosen?
27. If the judges are chosen randomly, what is the probability that all 3 judges are male?
© Glencoe/McGraw-Hill 840 Glencoe Algebra 1