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13-2 Permutations with Repetitions. Pretend you are playing words-with-friends and you get the following tiles: You can arrange the letters to make these different words. However, is E O O LB really different from E O O LB?. Permutations with reputations.
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Pretend you are playing words-with-friends and you get the following tiles: You can arrange the letters to make these different words. However, is EOOLB really different from EOOLB?
Permutations with reputations If you have n objects, where p are alike and also q are alike, then use: • How many different ‘words’ can you make with the tiles B L E O O
2) How many different ways can you rearrange the letters of Mississippi? 3) How many ways can you arrange 8 jellybeans by color where 3 are pink?
Circular Permutations • When objects are arranged in a circle with no reference point
4) At Mikes Farm, nine bowls of food are placed on a circular, revolving tray in the center of the table. You can serve yourself from each bowl. • Is the arrangement linear or circular? b) How many ways can the bowls be arranged?
5) There are 8 pieces of pizza each with different toppings in a large pie. How many ways can the pieces be arranged?
6) Seven people are seated at a round table, however, grandma has to be next to the window. • Is this linear or circular? • How many ways can you arrange the people?