Professor Gamble buys a lottery ticket, which requires that he pick five different integers from through , inclusive. He chooses his numbers so that the sum of the base-ten logarithms of his five numbers is an integer. It so happens that the integers on the winning ticket have the same property—the sum of the base-ten logarithms is an integer. What is the probability that Professor Gamble holds the winning ticket?
1/12
1/10
1/9
1/8
1/6
