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8 people are enterd in a race. If there are no ties, in how many ways can the first three places come out?

User Mofury
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1 Answer

6 votes

Answer:

336 ways

Explanation:

The number of ways the first three places can come out can be calculated using the concept of permutations. In this case, we want to find the number of permutations of 8 objects taken 3 at a time, which is denoted as P(8, 3).

The formula for permutations is:

P(n, r) = n! / (n - r)!

where n is the total number of objects and r is the number of objects being selected.

Using this formula, we can calculate:

P(8, 3) = 8! / (8 - 3)!

= 8! / 5!

= (8 * 7 * 6 * 5!) / 5!

= 8 * 7 * 6

= 336

Therefore, there are 336 different ways the first three places can come out in the race.

User Kreetchy
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