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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.)
re(2): computer aided solution Comment 6 of 6 |
(In reply to re: computer aided solution by Ady TZIDON)

I've corrected my solution (in my own reply) to eliminate the 50's.


But 40 is fine--it's under 46.

Edited on October 6, 2014, 2:28 pm
  Posted by Charlie on 2014-10-06 14:28:04

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