An easier one for Friday

12/19/08, 5:55 PM #1

Alex Yeilding
Guest

An easier one for Friday

Find the ten digit number with the properties that the first digit describes the number of zeros in the number, the second digit is the number of ones, the third digit is the number of twos, ..., and the tenth digit is the number of nines in the number.

Re: An easier one for Friday

12/19/08, 8:29 PM #2

Bill Hammond, Oregon Coast
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222 posts

Registered: 2/28/07

Re: Ack!

My head just imploded!

Re: An easier one for Friday

12/19/08, 8:38 PM #3

Alex Yeilding
Guest

Re: Ack!

:-)

In fairness, maybe I shouldn't have labeled it as easier. My daughter gave it to me with her solution, so I didn't get a chance to see how hard it might be.

Mea culpa.

Re: An easier one for Friday

12/20/08, 12:25 AM #4

Dan Donaldson
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5,264 posts

Registered: 9/17/01

Re: An easier one for Friday

Start with 9000000001. This is not possible because there are only 8 0's and you did not account for the 1. Next try 8000000010. This also does not work because you do not account for the 1. Tried 2 for the number of 1's because there need to be at least one 1 for the digit representing the number of 0's and another for the 1 counting the one. This forces a 1 in the 2's place to account for the 2. at that point, I have the ones accounted for and the 2 accounted for, all that is left is to count the number of zeros, put that as the first digit and place a 1 in the proper place to account for the first digit. This ends up being 6210001000. 6 zeros, two 1's and one 2. clear as mud? I just did it by trial and error.

- - -

I have been woodworking for about 25 years now, and would consider myself an enthusiastic amateur. My claim to fame (or infamy) has always been fixing stuff. I spent time in the Air Force in the 60's then went to work as an electronic technician for civil service. I finally got my EE, and being fed up with the civil service nonsense, took a job with Ford Motor Company until I went with the split to Visteon last year. I got interested in music and started playing in a bluegrass band. I wanted a new guitar, and that kind of led me into woodworking. I bought some books, a few tools, and built a guitar. Luckily, I didn't know any better than to try that as a first ever project. I still play it when I get a chance, so it must not be too bad if it can live for over 20 years. After a stint in Mexico for my job, I moved into a new house and built a small shop. Since then I have been collecting tools and skills, probably more of the former than the latter ;-). Finding this site has done more for my skills and enjoyment than anything else. I have learned a lot and really enjoy the friendships that I have made here. I have been married to LOML (Lori) for 32 years now and have 6 kids. When they are all gone, I want to get a 1 bedroom house (so there is not room for them to move back in) and at least a 6 car heated/air conditioned garage for a shop. (Dream on...)

Re: An easier one for Friday

12/20/08, 1:16 AM #5

Alex Yeilding
Guest

:-)

Re: An easier one for Friday

12/20/08, 4:22 AM #6

Guy Dennis
Guest

Re: An easier one for Friday

I believe there are an indeterminate number of correct answers for this one. One is 5,210,000,091. You can swap the 9 with any of the zero's. You can also substitute any of the numbers 3 through 8 for one or two of the zeros as long as you adjust the first digit to reflect the change.

Re: An easier one for Friday

12/20/08, 5:15 AM #7

Dan Donaldson
Member
Offline
5,264 posts

Registered: 9/17/01

Re: An easier one for Friday

That would not be correct because there are not 9 8's and the 5 is not accounted for.

- - -

I have been woodworking for about 25 years now, and would consider myself an enthusiastic amateur. My claim to fame (or infamy) has always been fixing stuff. I spent time in the Air Force in the 60's then went to work as an electronic technician for civil service. I finally got my EE, and being fed up with the civil service nonsense, took a job with Ford Motor Company until I went with the split to Visteon last year. I got interested in music and started playing in a bluegrass band. I wanted a new guitar, and that kind of led me into woodworking. I bought some books, a few tools, and built a guitar. Luckily, I didn't know any better than to try that as a first ever project. I still play it when I get a chance, so it must not be too bad if it can live for over 20 years. After a stint in Mexico for my job, I moved into a new house and built a small shop. Since then I have been collecting tools and skills, probably more of the former than the latter ;-). Finding this site has done more for my skills and enjoyment than anything else. I have learned a lot and really enjoy the friendships that I have made here. I have been married to LOML (Lori) for 32 years now and have 6 kids. When they are all gone, I want to get a 1 bedroom house (so there is not room for them to move back in) and at least a 6 car heated/air conditioned garage for a shop. (Dream on...)

An easier one for Friday

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