Mr. and Mrs. Roberts have two daughters and three sons. At Easter time every member of the family buys one chocolate Easter egg for each other member. How many Easter eggs will be bought in total?
There are seven members of the family and each person must buy six Easter eggs.
Therefore, total number of Easter eggs is 7 6 = 42.
Use this idea to work out the following,
(i) In a season, ten schools play home and away matches in a hockey league. How many matches that take place in a season.
(ii) In a netball tournament there are five teams and each team plays each other team once. How many matches will take place?
(iii) In a form there are thirty-two girls and two are picked at random. How many different pairs can be picked?