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First you need to find you first number. As there are five numbers, the first number can be any of the five. So you have five combinations (5). Next you take your second number, as you've already used one you can only choose one of four numbers (5 x 4). You third number, you can only choose one of three numbers (5 x 4 x 3), you fourth, one of two (5 x 4 x 3 x 2) and finally you are left with one number, so you only have one choice.

So we have a combination of 5 x 4 x 3 x 2 x 1 (or 5!) to find the number of different 5 number combinations you can make with 1, 2, 3, 4 and 5.

Answer: 120.

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Q: How many 5 number combinations are possible with 12345?
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