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

• Jun 23rd 2009, 09:12 PM
M23
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! :)
• Jun 23rd 2009, 09:33 PM
yeongil
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
• Jun 23rd 2009, 09:36 PM
earboth
Quote:

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,