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digital proof, imp 1. Problem Statement: In Is It a Digit, we were told
to put numbers in certain boxes, numbered 0-4. They had to ...
Submitted by billyworcester on November 3, 2005
Category: Miscellaneous
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Problem Statement: In Is It a Digit, we were told to put numbers in certain boxes, numbered 0-4. They had to follow a certain guideline, though.
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-The digit that you put in the box had to be the same number of times you
used that digit.
-For example..The digit you put in the box labeled “0" had to be the same
Number of 0's that you used.
We were allowed to use a digit more than once.
Process: I approached this POW thinking that it would be very simple, and I could just use each number once, and just had to play around with numbers. That was not the case. I started putting once in each box, but of course that would not work. I also tried to put 0 in each box. Obviosly those did not work, and I soon realized that. I then figured I would have to take a logical approach to the question, so I actually tried to think the question out. I started backwards. First off was the number 4.
-At first, I put a 0 in the 4 box, because
I assumed that I would not be
Using the number 4 for each box before that, because it wouldn’t work. I
Mean if I put a 4 in the 3 box, that means I would have to use the number
3 4 times, which obviouslly did not work.
I then went to the “3" box, confident with my decision on number 4. I used the same approach as I did on the 4 box. I knew that if I put a 4 in the 3 box then I would have to use the number 3 4 times, which obvioslly would not work. I think went through the numbers, and then it all made sense. If I put a 1 in the 3 box, then that means I would use the number 3 1 time, but that means I would have to put the number 3 in another box, just with all the numbers.
● If I put a 1 in the three box, that would mean I used another number three times. If I used another number 3 times, that means it would fill up my remaining spaces ( 0, 1, and 2) This just did not make sense.
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