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Winning Ticket Tickle (Posted on 2014-10-06) Difficulty: 3 of 5
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?

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re: computer aided solution -- whoops!; 50 is not under 46 | Comment 4 of 6 |
(In reply to computer aided solution by Charlie)

After deleting the lines containing 50, we're left with only four ways:


   numbers         product
 1 2 4 5 25 10     10000
 1 2 5 25 10 40     100000
 1 4 5 25 10 20     100000
 1 5 25 10 20 40     1000000

So Gavin'g probability is 1/4.

  Posted by Charlie on 2014-10-06 14:23:44
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