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Question

How many ways are there to divide a group of 6 friends among the basketball team, the soccer team, and the track team? (Each team could have anywhere from 0 to 6 of the friends on it. Assume the friends are distinguishable.)

Accepted Answer

For each friend, there are 3 options for which team to put them on. Since each of the 6 people have 3 options, there are 3^6=729 to divide the group of friends.