The tree diagram shows the possible win/loss paths for a basketball team playing in a tournament. Harris High School loses 1 game in the tournament. How many ways could this happen?

Question

Responses

A 11

B 22

C 33

D 44

E 55
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Answer 1

The answer is D) 44. To see why, note that there are 11 possible paths for Harris High School to win all its games and become the champion (listed at the end of each branch). If it loses one game, that loss could happen on any of the 11 paths. So the total number of ways for Harris to lose one game is 11 x 4 = 44.