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Basic Probability. Permutations and Combinations: Permutations: Each separate arrangement of all or part of a set of items. The number of permutations is the number of different arrangements in which items can be placed. change order → different arrangement → different permutations.
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Basic Probability Permutations and Combinations: Permutations: Each separate arrangement of all or part of a set of items. The number of permutations is the number of different arrangements in which items can be placed. change order → different arrangement → different permutations
Basic Probability Permutations and Combinations: • Permutations: a. A total of n distinguishable items to be arranged. R items are chosen at a time (r ≤ n). The number of permutations of n items chosen r at a time is written nPr. (example)
Basic Probability Permutations and Combinations: • Permutations: b. To calculate the number of permutations into class. A total of n items to be placed. n1 items are the same of one class, n2 are the same of the second class and n3 are the same as a third class. n1+n2+n3=n The number of permutations of n items taken n at a time: (example)
Basic Probability Permutations and Combinations: • Combinations: c. Similar to Permutations but taking no account of order. The number of combinations of n items taken r at a time: (example)