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B. 4687. Samson wrote the number 123456789 on a sheet of paper. Then he may or may not have placed a multiplication sign between any two consecutive digits. (He may have used several of them, or none at all.) By reading the digits between multiplication signs as a single number, he obtained a product of numbers. For example, $\displaystyle 1234 \cdot 56 \cdot 789$. What is the maximum possible value of the number obtained in this way?

Suggested by M. E. Gáspár, Budapest

(3 points)

Deadline expired on 10 March 2015.

Statistics on problem B. 4687.
 150 students sent a solution. 3 points: 67 students. 2 points: 35 students. 1 point: 15 students. 0 point: 32 students. Unfair, not evaluated: 1 solution.

• Problems in Mathematics of KöMaL, February 2015

•  Támogatóink: Morgan Stanley