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.)
You could list out th epossibilities, or you can use stars and bars.
(6+2)C(3-1) = 8C2 = 8*7/2 = 28.
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