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Mountain Motif (Posted on 2010-04-07) Difficulty: 2 of 5
A five digit positive integer is a mountain number if the first three digits are in strictly ascending order and the last three digits are in strictly descending order. For example, 46872 is a mountain number, but none of 43434, 54456 and 46766 is a mountain number.

Determine the probability that N is a mountain number, given that N is a positive integer chosen at random between 40000 and 99999 inclusively.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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  Subject Author Date
SolutionSolution (using Excel)hoodat2010-04-20 00:37:30
A mountain RANGE?ed bottemiller2010-04-08 17:18:56
Some ThoughtsLet's generalize- no middle point neededAdy TZIDON2010-04-08 14:02:58
re(2): my wayAdy TZIDON2010-04-08 13:05:31
re: my wayCharlie2010-04-08 12:10:06
Solutionmy wayAdy TZIDON2010-04-08 10:09:52
SolutionsolutionCharlie2010-04-07 11:44:17
six of one, half-dozen of anothered bottemiller2010-04-07 11:40:37
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