One is the Magic Number
RAY: Here's the answer. How many numbers are there between zero and 999,999?
TOM: Oh a million almost.
RAY: Very good. Each one of those numbers is six digits whether it's 000,001, or 999,973. So if there are a million numbers and each of them is six digits then there must be how many total digits?
TOM: How about six million, eh?
RAY: There you go. And of course there are ten digits between zero and nine, 0, 1, 2, 3, etc. And each of the digits is used as often as each of the others. So if we divide our six million digits by ten we find out that there are 600,000 ones, there are also 600,000 twos, 600,000 threes, because all the digits appear as often as all the other ones.
RAY: So that's the answer, 600,000. Who's our winner?
TOM: Our winner this week is Meredith Moss from Tempe, Arizona, and for having her answer selected at random from among all the correct answers that we got, Meredith is going to get a $26 gift certificate to the Shameless Commerce Division at CarTalk.com, with which she can get a copy of Ask Click and Clack, a book of questions and answers from Car Talk.
RAY: And 600,000 congratulations to you Meredith!
[ Car Talk Puzzler ]