Our basketball team has 10 players. we need to divide into two teams of 5 for an intra-squad scrimmage. in how many ways can we do this without restrictions?

There would be 252 different teams possible.

First, we need to find the total number of teams.
That would be: 10 x 9 x 8 x 7 x 6 = 30240

Then, divide that amount by the ways that you can mix up the 5 players on a team.  That is: 5 x 4 x 3 x 2 x 1 = 120

The final answer is: 30240 / 120 = 252