Question
What is the number of ways to award 4 prizes to 13 people
Answers
GPT 3.5
The number of ways to award 4 prizes to 13 people can be calculated using the concept of permutations. Specifically, we want to find the number of permutations of 13 people taken 4 at a time.
To calculate this, we can use the formula for permutations:
P(n, r) = n! / (n - r)!
Where n is the total number of items (13 people) and r is the number of items chosen (4 prizes).
Using this formula, we can calculate:
P(13, 4) = 13! / (13 - 4)!
= 13! / 9!
= (13 × 12 × 11 × 10) / (4 × 3 × 2 × 1)
= 27,040
Therefore, there are 27,040 ways to award 4 prizes to 13 people.
To calculate this, we can use the formula for permutations:
P(n, r) = n! / (n - r)!
Where n is the total number of items (13 people) and r is the number of items chosen (4 prizes).
Using this formula, we can calculate:
P(13, 4) = 13! / (13 - 4)!
= 13! / 9!
= (13 × 12 × 11 × 10) / (4 × 3 × 2 × 1)
= 27,040
Therefore, there are 27,040 ways to award 4 prizes to 13 people.