Week 361 (6th September 2024)

The local tennis club has a total of 52 players. 

The club is made up of: 

20 men  

18 women  

14 children  

Two players from the club are selected to play in a tournament. One being chosen from each category.   

Work out how many ways there are of selecting the two players for the tournament.  

Answer: 

You must find all possibilities 

The probability of a man and woman = 20 x 18 = 360 

The probability of a man and child = 20 x 14 = 280 

The probability of a woman and child = 18 x 14 = 252 

360 + 280 + 252 = 892