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 basketballonly,

7 play socceronly,

12 play hockeyonly,

8 play basketballandsoccerand nothockey,

5 play soccerandhockeyand notbasketball,

6 play basketballandhockeyand notsoccer,

4 play all three.

Total: 49

You state that 25 play basketball. If you add all the numbers that involve basketball:

7 play basketballonly,

8 play basketballandsoccerand nothockey,

6 play basketballandhockeyand notsoccer,

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.

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