Presentation on theme: "13-2 Permutations with Repetitions and Circular Permutations"— Presentation transcript:
1 13-2 Permutations with Repetitions and Circular Permutations Pre Calc A
2 Permutations with Repetitions The number of permutations of n objects of which p are alike and q are alike can be found by
3 How many 9 letter patterns can be formed from the letters of the word Ex 17:How many 9 letter patterns can be formed from the letters of the wordISOSCELESHow many eleven letter patterns can be formed from the letters of the word REPETITION
4 Circular Permutation with a Fixed/Reference Point If n objects are arranged in a circle then there are (n-1)! permutations of the n objects around the circle.If n objects are arranged in a circle with a fixed point, then there are n! permutations
5 Ex last one:Mr. Kesler is at a picnic that has a circular revolving condiment server. Six condiments are placed on the table. How many ways can the condiments be arranged?Eleven people are to be seated at a round table where one person is seated closest to the exit. How many possible arrangements of people relative to the exit are possible?