How many primes can you make?
Number Theory
Level
2
Of all 10-digit numbers with all 10 distinct digits, how many are prime numbers ?
The answer is 0.
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1 solution
The sum of the digits from 0 to 9 is 45. Since 45 is a multiple of 9, no matter what number you make that uses all the digits exactly once, it will be a multiple of 9.
Thus, the answer is 0