In the POW A Digital Proof, you had to place digits in five boxes in a way that satisfied certain conditions and then prove that you found all the solutions. Now you will investigate a more complex version of that problem. This time you don't need to prove you have found the only solution. There are ten boxes in this puzzle, from Box 0 to Box 9. 0 1 2 3 4 5 6 7 8 9 You must put a digit from 0 to 9 in each box so these conditions hold. The digit in Box 0 must be the same as the number of Os you use. The digit in Box 1 must be the same as the number of 1s you use. . The digit in Box 2 must be the same as the number of 2s you use and so on. You may, of course, use the same digit more than once.
In the POW A Digital Proof, you had to place digits in five boxes in a way that satisfied certain conditions and then prove that you found all the solutions. Now you will investigate a more complex version of that problem. This time you don't need to prove you have found the only solution. There are ten boxes in this puzzle, from Box 0 to Box 9. 0 1 2 3 4 5 6 7 8 9 You must put a digit from 0 to 9 in each box so these conditions hold. The digit in Box 0 must be the same as the number of Os you use. The digit in Box 1 must be the same as the number of 1s you use. . The digit in Box 2 must be the same as the number of 2s you use and so on. You may, of course, use the same digit more than once.
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 24E
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