There are a total of 10 students in Mr. Schmidt's gym class. Over the course of a badminton unit, each of the 10 students will compete exactly once against every other student in the class. How many total games of badminton will be played?	Pick:  A) 48  B) 47  C) 45  D) 41  E) 46
there are 10 students , if each play with all other members .   then total games can be calculated as 9+8....+1 = 45.   alternate approach is to choose 2 distinct out of 10 = 10c2 = 45   Answer is 45.
<result>C</result>
There are a total of 10 students in Mr. Schmidt's gym class. Over the course of a badminton unit, each of the 10 students will compete exactly once against every other student in the class. How many total games of badminton will be played?