[Illustration:
MON. TUES. WED.
+---+---+---+ +---+---+---+ +---+---+---+
| 1 | 2 | 1 | | 1 | 3 | 1 | | 1 | 4 | 1 |
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| 2 | | 2 | | 1 | | 1 | | 1 | | 1 |
+---+---+---+ +---+---+---+ +---+---+---+
| 1 | 22| 1 | | 3 | 19| 3 | | 4 | 16| 4 |
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THURS. FRI. SAT.
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| 1 | 5 | 1 | | 2 | 6 | 2 | | 4 | 4 | 4 |
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| 2 | | 2 | | 1 | | 1 | | 4 | | 4 |
+---+---+---+ +---+---+---+ +---+---+---+
| 4 | 13| 4 | | 7 | 6 | 7 | | 4 | 4 | 4 |
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]
Arrange the nuns from day to day as shown in the six diagrams. The
smallest possible number of nuns would be thirty-two, and the
arrangements on the last three days admit of variation.