SOLUTION: How many distinct 5-digit numbers can be made using the digits 1,2,2,2,7? I know the answer, but I need to know how to get that answer.

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Question 498536: How many distinct 5-digit numbers can be made using the digits 1,2,2,2,7? I know the answer, but I need to know how to get that answer.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


If you had 5 different digits, then you would have 5! ways to arrange them and therefore 5! distinct 5 digit numbers. Since three of your digits are the same, 3! of your 5! 5 digit numbers are identical, so the calculation is:



Do the arithmetic.

John

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