Problem of the Week

Bowling Partners

The Ten Pins bowling club consists of three married couples, Ricky and Lucy, Archie and Edith, and Mike and Carol. To practice for an upcoming tournament each club member will bowl three games against each of the other club members. What is the total number of games the club members will bowl practicing for the tournament?


The upcoming tournament requires bowlers to form teams of two bowlers each. Instead of simply creating teams with spouses partnered, the Ten Pins have decided to create three teams by randomly selecting partners. How many possible sets of three teams formed by the Tin Pins have no pair of spouses partnered?

Edith earned a perfect score of 300 for her final game of the tournament. Carol’s high score during the tournament was 150 more than Lucy’s tournament high score. The sum of Edith, Carol and Lucy’s high scores for the tournament is 720. What is the difference between Edith and Lucy’s tournament high scores?

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