18.05 Study Guide - Midterm Guide: Mit Opencourseware

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9 Jun 2015
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Note: this is a set of practice problems for exam 1. Sort the letters: a bb ii l o p r t y. We build arrangements by starting with 11 slots" and placing the letters in these slots, e. g. Create an arrangement in stages and count the number of possibilities at each stage: Stage 1: choose one of the 11 slots to put the a: Stage 4: choose one of the remaining 6 slots to put the l: Stage 3: choose two of the remaining 8 slots to put the b"s: Stage 2: choose two of the remaining 10 slots to put the b"s: ( )2. Stage 5: choose one of the remaining 5 slots to put the o: Stage 7: choose one of the remaining 3 slots to put the r: Stage 6: choose one of the remaining 4 slots to put the p: Stage 8: choose one of the remaining 2 slots to put the t:

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