If one 12 person tent is used, the there are 22 - 12 = 10 persons that must be in the other tents.
To place 10 persons in combinations of 2, 3, 5, or 6 you can use:
1) 2 + 3 + 5. = 10 This is a combination of the tents that hold 2, 3, and 5 persons.
2) You can also use 5 tents of 2 persons: 5 * 2 = 10.
3) You can also use 2 tents of 2 and one tent of 6, because 2* 2 + 6 = 4 + 6 = 10.
4) You can also use 2 tents of 2 and 2 tents of 3: 2 * 2 + 2 * 3 = 4 + 6 = 10.
Those are all the different combinatins possible: 4.
Answer: 4 different combinations.
