Concept explainers
a.
To find: whether the selection involves a permutation or a combination.
a.
Answer to Problem 32PPS
The selection involves a permutation.
Explanation of Solution
Given information:
51 contestants are there in The Teen Miss USA pageant.
Teen Miss USA and 4 runners-up are chosen by the judges.
Here, we have to find that the selection involves a permutation or a combination.
Since the order is important, then this is a permutation problem.
Hence, the selection involves a permutation.
b.
To find: the number of ways that the judges can choose Teen Miss USA and 4 runners-up.
b.
Answer to Problem 32PPS
The judges can choose Teen Miss USA and 4 runners-up in 281887200 ways.
Explanation of Solution
Given information:
51 contestants are there in The Teen Miss USA pageant.
Teen Miss USA and 4 runners-up are chosen by the judges.
Formula:
Calculation:
To calculate the number of ways that the judges can choose Teen Miss USA and 4 runners-up,
Hence, the judges can choose Teen Miss USA and 4 runners-up in 281887200 ways.
Chapter 12 Solutions
Algebra 1
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