Consideration is being given to forming a Super Ten Basketball Conference. The top 10 university basketball teams in the country, based on past records, would be members of the Super Ten
Conference. Each team would play every other team in the conference during the season and the
Team winning the most games would be declared the national champion. How many games would the conference commissioner have to schedule each year? (Remember, McMaster versus Alberta is the same as Alberta versus McMaster.)
A) 45
B) 50
C) 125
D) 14
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The number of games required is calculated using the combination formula for choosing 2 teams out of 10 to play a game, which is 10 choose 2: C(10, 2) = 45.

Consideration Is Being Given to Forming a Super Ten Basketball