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Prime Time (Posted on 2002-12-17) Difficulty: 2 of 5
There are 362,880 different numbers that use the digits 1 to 9 exactly once (like 187,432,569).

Of these, what percentage are prime numbers?

See The Solution Submitted by cges    
Rating: 3.1538 (13 votes)

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Solution Puzzle Solution | Comment 9 of 10 |
 For any given number that use the digits 1 to 9 exactly once, the sum of the digits is 45, which is divisible by 9. Accordingly, all the numbers having this property are divisible by 9 and cannot be primes.

Consequently, the reuired percentage of prime numbers is 0.  

Edited on February 26, 2008, 11:38 pm
  Posted by K Sengupta on 2008-02-26 22:31:03

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