There are a total of 15 students in Mr. Sam's gym class. Over the course of a badminton unit, each of the 15 students will compete exactly once against every other student in the class. How many total games of badminton will be played? Choices:
A) 105 B) 171 C) 190 D) 110 E) 161
there are 15 students , if each play with all other members .   then total games can be calculated as 14+13....+1 = 105.   alternate approach is to choose 2 distinct out of 14 = 14c2 = 105   105nswer is 105.
<result>A</result>
There are a total of 15 students in Mr. Sam's gym class. Over the course of a badminton unit, each of the 15 students will compete exactly once against every other student in the class. How many total games of badminton will be played?