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If you had a set of ten cards numbered 0 to 9, could you make six numbers which are all multiples of three?

+1 vote
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If you had a set of ten cards numbered 0 to 9, could you make six numbers which are all multiples of three?
posted Jul 21, 2017 by anonymous

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2 Answers

+2 votes
 
Best answer

21, 45, 78, 3, 6, 9 are all multiples of 3 and can be made with just 9 numbers (No need of 0).

answer Jul 21, 2017 by Tejas Naik
+1 vote

1) 6, 9, 12, 30, 45, 78
2) 3, 6, 9, 24, 78, 105

answer Jul 22, 2017 by Salil Agrawal



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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.

Do you?

...