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 follow a certain guideline, though.

-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