When a group of colleagues discussed where their annual retreat should takeplace, they found that of all thecolleagues:

29 would not go to apark,

29 would not go to abeach,

12 would not go to acottage,

10 would go to neither a park nor abeach,

3 would go to neither a beach nor acottage,

7 would go to neither a park nor acottage,

1 would not go to a park or a beach or acottage, and

6 were willing to go to all three places.

What is the total number of colleagues in thegroup?