The last three digits of 16,123 are "1," "2" and "3," in that order.
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are the last TWO digits of 5347. 5, 3, 4, and 7 are all digits of the number 5347.
215
120 There are 6 digits in total. The numbers with 3 digits, with all digits distinct from each other, are the permutations of the 6 digits taken 3 at a time, and therefore there are 6*5*4 = 120 of them.
The last digit must be odd: three possibilities. The other digits can be anything else, as long as they're different: five times four times three possibilities. Thus, the answer is 3 x 5 x 4 x 3 = 180.
899