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| Math Central | Quandaries & Queries |
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Question from rebecca, a student: how many three digit odd numbers can be formed using the digits 1,2,3,4,5,6 without using any digit more than once? |
Hi Rebecca,
An odd number must not have an even last digit, so from our list of digits to use our last one must be either 1, 3, or 5. So we have 3 choices for the last digit of our 3 digit number. If we cannot repeat any digit, how many choices do we have for the middle digit of our 3 digit number? How many digits are left to choose from for the first digit of our 3 digit number?
Just multiply your answers to these questions together, and that is how many 3 digit odd numbers can be formed from 1 - 6 without repetition.
Tyler
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