Gavin buys a lottery ticket, and in accordance with the rules he picks six different integers from through 1 to 46 inclusively. He chooses his numbers so that the sum of the base-ten logarithms of his six numbers is an integer.

By coincidence, the integers on the winning ticket have the same property - that is: the sum of the base-ten logarithms of the six numbers is an integer.

What is the probability that Gavin holds the winning ticket?

(In reply to computer aided solution by Charlie)

There was a limit of choice

1 - 46  so a actually 40 and 50 cannot participate.

Posted by Ady TZIDON on 2014-10-06 14:24:55