# Thread: A question I have been stuck on for a while....

1. ## A question I have been stuck on for a while....

Each member of a neighbourhood athletics club plays at least one of the following sports: basketball, soccer, or hockey. In the club, 25 members play basketball, 12 play basketball and soccer, 10 play basketball and hockey, 9 play soccer and hockey, 37 play basketball or soccer, 42 play soccer or hockey, and 4 play all three sports. How many members are in the club? A. 47 B. 48 C. 49 D. 50 Help would be very much appreciated!

2. I'm getting 49. You'll have to draw a Venn diagram with three circles. When you're done, you'll find that:

7 play soccer only,
12 play hockey only,
8 play basketball and soccer and not hockey,
5 play soccer and hockey and not basketball,
6 play basketball and hockey and not soccer,
4 play all three.

Total: 49

8 play basketball and soccer and not hockey,
6 play basketball and hockey and not soccer,
4 play all three,
you get 25. You can repeat for the other conditions to verify.

Sorry this is not that helpful. I don't have a camera handy to take a picture of my Venn diagram.

01

3. Originally Posted by M23
Each member of a neighbourhood athletics club plays at least one of the following sports: basketball, soccer, or hockey. In the club,