**Unformatted text preview: **5 × 4 × 3 = 360 possible sequences . Think of it this way: on the ﬁrst roll, there are 6 possible numbers you could roll. If a number is not to be repeated in the sequence, then on the second roll, you can’t get the number you rolled the ﬁrst time – this reduces your possibilities for the second roll to 5 numbers. Likewise, on the third roll, there are only 4 possible choices if you are not to repeat the numbers you rolled during the ﬁrst two rolls. We can continue in this fashion. 6) 30 × 29 × 28 = 24,360 possible 1st, 2nd, 3rd place ﬁnishes. 1...

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- Fall '10
- Beaulieu
- Math, Probability, Roll, new nodes