Final answer:
To find the number of ways to assign the 10 positions by selecting players from the 15 people who show up, we can use the concept of combinations.
Step-by-step explanation:
To find the number of ways to assign the 10 positions by selecting players from the 15 people who show up, we can use the concept of combinations. A combination is a way to select a subset of objects from a larger set without considering the order. In this case, we need to select 10 players from a group of 15. The formula for combinations is:
C(n, r) = n! / (r! * (n - r)!)
where n is the total number of options and r is the number of options to be selected. Plugging in the values, we have:
C(15, 10) = 15! / (10! * (15 - 10)!) = 3,003
Therefore, there are 3,003 ways to assign the 10 positions by selecting players from the 15 people who show up.