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Q: What is the smallest five digit even number without repeating any numbers one through nine and does not include the number zero?

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The smallest number that is divisible by all the numbers 2 through 12 is 27,720.

120

12

anything between 3.5 to 4.4999999 repeating

93,876

There are 9*9*8*7 = 4536 of them.

The factors of all the numbers 1 through 30 include all the numbers 1 through 30.

They could be 3, 6, 7 or 9.

The smallest number that is divisible by the numbers 1 through 10, except 7 and 8, is 180.

The range of a set of numbers is the range between the largest and the smallest number. This is basically the largest number in the sequence subtract the smallest number in the sequence. In this case, the smallest number is 7 and the largest number is 35. This makes the range 28.

There are 15C3 = 15*14*13/(3*2*1) = 455 combinations, and I am NOT even going to try listing them.

There are 35C4 = 35*34*33*32/(4*3*2*1) = 52,360 combinations.

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