Final answer:
Using combinations, the number of different teams that can be chosen from 20 basketball players to form teams of 5 is 15,504.
Step-by-step explanation:
When forming teams of 5 players from a group of 20 basketball players, we use the concept of combinations, which are selections made where order does not matter. The formula for combinations is given by:
C(n, k) = n! / (k!(n-k)!), where n is the total number of items, k is the number of items to choose, and ! denotes factorial. Therefore, the number of ways to form teams of 5 players from 20 is:
C(20, 5) = 20! / (5!(20-5)!) = 20! / (5! × 15!) = (20 × 19 × 18 × 17 × 16) / (5 × 4 × 3 × 2 × 1)
By calculating the values, we find that the number of possible teams is 15,504