5
AssignmentMultiple Select

Sets and Venn Diagrams

Question 5 • TN-Algebra II B SC 26-27 (For Credit)

Select all of the following problem situations that involve permutations.

Answer
A
How many ways can you arrange 4 of the letters of the word SOLVE if no letter can be used more than once?
B
There are 75 different varieties of cereal at the store. How many ways can you choose 3 different varieties?
C
There are 9 books on your summer reading list. How many ways can you choose 3 to read?
D
There are 8 schools competing in the final round of the national swim relay. How many ways can the gold, silver, and bronze medals be awarded?
E
How many 4-digit access codes are possible using the numbers 1 through 6 if each number can only be used once?

Explanation

A permutation is used when the order of the selected items matters. In A, arranging the letters creates different orders; in D, who earns gold, silver, and bronze matters; and in E, changing the order of digits creates a different access code. In B and C, only which varieties or books are chosen matters, not their order, so those are combinations.

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