There are 5 boys and 5 girls on a co-ed basketball team. a team plays 5 players on the court at one time, and the team can have at most 3 boys. how many possible teams can be created?

226 teams

Step-by-step explanation:

A team can be:

Count all combinations:

1. 5 girls from 5 girls can be chosen in 1 way.

2. 4 girls from 5 girls can be chosen in

different ways and 1 boy from 5 boys can be chosen in

different ways, so in total,

different combinations.

3. 3 girls from 5 girls can be chosen in

different ways and 2 boys from 5 boys can be chosen in

different ways, so in total,

different combinations.

4. 2 girls from 5 girls can be chosen in

different ways and 3 boys from 5 boys can be chosen in

different ways, so in total,

different combinations.

In total, there are

possible teams.