6th Grade Comprehensive Topics of Counting: Problem 1

2 years ago
13

Problem: Contestants A and B are competing in an alien chess tournament. There is no draws, meaning that there is always a winning side and a losing side. By the time one side wins three more matches than the opponent that side will win the tournament. If after 11 matches A has won the tournament with 7 matches won and 4 matches lost, how many different combinations of matches satisfies these pieces of information?

Key: Create a grid to show every circumstance that's possible for A and B

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