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Wednesday, July 23, 2008

Ten Sentences

Given the following sentences:

The number of times the digit 0 appears in this puzzle is _____.
The number of times the digit 1 appears in this puzzle is _____.
The number of times the digit 2 appears in this puzzle is _____.
The number of times the digit 3 appears in this puzzle is _____.
The number of times the digit 4 appears in this puzzle is _____.
The number of times the digit 5 appears in this puzzle is _____.
The number of times the digit 6 appears in this puzzle is _____.
The number of times the digit 7 appears in this puzzle is _____.
The number of times the digit 8 appears in this puzzle is _____.
The number of times the digit 9 appears in this puzzle is _____.

Complete these sentences with digits until they are all true.

The Question: Which two solutions are possible?


Answer:

Possibility 1:

The number of times the digit 0 appears in this puzzle is 1.
The number of times the digit 1 appears in this puzzle is 7.
The number of times the digit 2 appears in this puzzle is 3.
The number of times the digit 3 appears in this puzzle is 2.
The number of times the digit 4 appears in this puzzle is 1.
The number of times the digit 5 appears in this puzzle is 1.
The number of times the digit 6 appears in this puzzle is 1.
The number of times the digit 7 appears in this puzzle is 2.
The number of times the digit 8 appears in this puzzle is 1.
The number of times the digit 9 appears in this puzzle is 1.

Possibility 2:

The number of times the digit 0 appears in this puzzle is 1.
The number of times the digit 1 appears in this puzzle is 11.
The number of times the digit 2 appears in this puzzle is 2.
The number of times the digit 3 appears in this puzzle is 1.
The number of times the digit 4 appears in this puzzle is 1.
The number of times the digit 5 appears in this puzzle is 1.
The number of times the digit 6 appears in this puzzle is 1.
The number of times the digit 7 appears in this puzzle is 1.
The number of times the digit 8 appears in this puzzle is 1.
The number of times the digit 9 appears in this puzzle is 1.

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