How can you divide a space of 22 people into 11 people 20 times?
One way to divide a space of 22 people into 11 people 20 times is:
- Divide the 22 people into two groups of 11 people each.
- Choose 11 people from the first group and call them Group A1.
- Choose 11 people from the second group and call them Group B1.
- Combine Group A1 and Group B1 to create Space 1.
- Repeat steps 2-4, but this time choose a different set of 11 people from each of the two groups. Call these groups A2 and B2, and combine them to create Space 2.
- Repeat steps 2-5, choosing different sets of 11 people each time, until you have created 20 spaces.
Note that each person will be part of exactly two spaces.
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