When a group of colleagues discussed where their annual retreat should take? place, they found that of all the? colleagues:
17 would not go to a? park,
23 would not go to a? beach,
27 would not go to a? cottage,
6 would go to neither a park nor a? beach,
8 would go to neither a beach nor a? cottage,
10 would go to neither a park nor a? cottage,
5 would not go to a park or a beach or a? cottage, and
12 were willing to go to all three places. What is the total number of colleagues in the? group?