There are 5 swimmers in a race. There will be a first-place, a second-place, and a third-place prize awarded. In how many differ
1 answer:
Answer:
Step-by-step explanation:
This is a permutation problem. There are 5 swimmers in the race, and any combination of 3 will finish in the first 3 places. The formula will look like this:
₅P₃ = which will expand to
₅P₃ = and when the 2 * 1 cancels out between the numerator and the denominator, you're left with simply:
₅P₃ = 5 * 4 * 3
which is 60
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