ECO 3401 Chapter Notes - Chapter 5.1: Combination Lock, Windbreaker
Document Summary
Part a: multiplication principle: counts the number of ways a sequence of activities can be performed, ex. Part c: multiplication principle example: a teacher is lining up 8 students for a spelling bee, how many different line-ups are possible, eight decisions will be made. One student for each space, and they cannot be repeated: 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320 different line-ups, factorial notation is what was used above , n! Part d: permutations: p (n,r) = ! (cid:4666) (cid:4667)! objects, permutation subset of distinct elements selected from a given set of n, ordered selection of r objects without repetition, ex. The offices of president, vice president, secretary, and treasurer are to be filled. = 116,280 different slates: permutation principle: (cid:2869)(cid:2868)!(cid:2875)! = 720 different ways: p (8, 5) = (cid:2876)!(cid:2871)! = 336 different arrangements: p (6,3) = (cid:2874)!(cid:2871)! = 120 permutations of the letters are to be used.
