how many games does the president schedule

Question

Five new students join the Chess Club. The club president schedules games so that each of the new members plays a game against each of the other new members. How many games does the president schedule?

Answer 1

each of the new members plays a game against each of the other new members.

 

AB, AC, AD, AE

BC, BD, BE

CD, CE,

DE

 

It's 10: five taken two at a time.