There are a total of 17 students in Mr. David's gym class. Over the course of a badminton unit, each of the 17 students will compete exactly once against every other student in the class. How many total games of badminton will be played? Select the correct option:	A) 138	B) 136	C) 190	D) 210	E) 153
there are 17 students , if each play with all other members .   then total games can be calculated as 16+15....+1 = 136.   alternate approach is to choose 2 distinct out of 17 = 17c2 = 136   Answer is 136.
<result>B</result>
There are a total of 17 students in Mr. David's gym class. Over the course of a badminton unit, each of the 17 students will compete exactly once against every other student in the class. How many total games of badminton will be played?