We're assuming e.g. the two that won't go to P (park) or C (cottage) includes the one that won't go anywhere.
Let's call the three rings of the Venn diagram
We'll label the eight regions like

, here meaning in P, in B, not in C.
1 would not go to a park or a beach or a cottage

8 would go to neither a park nor a beach. We have to take away the one guy who won't go anywhere to find out how many go just to college.
3 would go to neither a beach nor a cottage,
<span>2 would go to neither a park nor a cottage,
</span>
<span>17 would not go to a park
</span>


<span>24 would not go to a beach
</span>

13 would not go to a cottage

8 were willing to go all three places.

Adding them all up,