How many different basketball teams of 5 players can be created from a group of 7 players?

C(7,5) = C(7,2) = 7*6 / 1*2 = 21

20

To calculate the number of different basketball teams of 5 players that can be created from a group of 7 players, we can use combination formula.

The formula for combinations is given by:

C(n, k) = n! / (k! * (n-k)!)

Where:
- n is the total number of players in the group (7).
- k is the number of players needed for each team (5).

Using the combination formula:

C(7, 5) = 7! / (5! * (7-5)!)
= 7! / (5! * 2!)
= (7 * 6 * 5 * 4 * 3 * 2 * 1) / (5 * 4 * 3 * 2 * 1 * 2)
= (7 * 6) / 2
= 42 / 2
= 21

Therefore, there are 21 different basketball teams of 5 players that can be created from a group of 7 players.

To find the number of different basketball teams of 5 players that can be created from a group of 7 players, we can use a combination formula. The combination formula is given by:

C(n, r) = n! / (r! * (n-r)!)

Where "n" represents the total number of players to choose from, and "r" represents the number of players needed to form a team.

In this case, we have 7 players to choose from, and we want to create a team of 5 players. Substituting these values into the combination formula, we get:

C(7, 5) = 7! / (5! * (7-5)!)

Calculating this formula:

C(7, 5) = (7 * 6 * 5!) / (5! * 2!)

The factorials in the numerator and denominator cancel out, leaving us with:

C(7, 5) = (7 * 6) / 2!

Further simplifying:

C(7, 5) = 42 / 2

C(7, 5) = 21

Therefore, there are 21 different basketball teams of 5 players that can be created from a group of 7 players.