8. First indicate if each of the following is a permutation or a combination (CI

Question

8. First indicate if each of the following is a permutation or a combination (CIRCLE ONE). Then calculate the number. (You may use the calculator function to calculate.) a. How many possible committees of 5 people can be selected from a club of 18? PERMUTATION COMBINATION Number b. Mrs. Nelson needs 3 students to help clean her classroom: student 1 to sweep the floors, student 2 to clean off the desks, and student 3 to wash the chalkboards. In how many different ways can she select 3 students to help from her class of 24? PERMUTATION COMBINATION Number c. In how many different ways can the gold, silver, and bronze medals be awarded among 7 competitors in a sporting event (assuming there are no ties)? PERMUTATION COMBINATION Number d. Terry has 14 lottery tickets and you paid for 4 of them. How many possible groups of 4 tickets can you choose from Terry's 14? PERMUTATION COMBINATION Number e. A softball team has 13 players. How many 9-player batting orders are possible? PERMUTATION COMBINATION Number

Explanation / Answer

a)
Combination
18C5 = 8568

b)
Permutation
24P3 = 12144

c)
permutation
7P3 = 210

d)
Combination
14C4 = 1001

e)
Permutation
13P9 = 259459200

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