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21, 45, 78, 3, 6, 9 are all multiples of 3 and can be made with just 9 numbers (No need of 0).
1) 6, 9, 12, 30, 45, 78
2) 3, 6, 9, 24, 78, 105
I am a set of three words, all with the same six letters.
First I am a kingdom, though not royally so.
Then spell me backwards, and I become a thin plate.
Now rearrange my consonants, leaving my vowels in place ...
I am now a type of paper.
What are the words?
There are four solutions.
It can be easily calculated that the digits 0 to 9 can be arranged into 3628800 distinct ten-digit numbers.
But I also know how many of these numbers are prime.
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