Circular Permutation.pptxjhohohohohohhbbholbh

Circular Permutation

1. Permutation Eddie A. Lumaras , Jr.

2. permutation Definition A permutation is an arrangement of objects in a definite order. Also, it is a mathematical technique that determines the possible arrangements in a set when the order of arrangements matters .

3. Types of permutation Permutation without Repetition (Linear Permutation) Permutation with Repetition or Replacements Distinguishable Permutation Circular Permutation

4. Assignments

5. Review: Find the number of distinguishable permutations of the letters in each of the given words. REFERENCE STATISTICS

6. circular permutation The number of circular permutation of n objects is given by P = (n-1)! Where: P is the total number of permutations n is the total number of objects in the set

7. Examples: Solve: 1. Find the number of permutation of five people around a circular table. Formula: P = (n-1)! Given: P = ? n = 5 Solution: P = (n-1)! P = (5-1)! P = 4! P = 24 ways

8. Examples: 2. Find the number of circular permutation of seven cheerleaders. Formula: P = (n-1)! Given: P = ? n = 7 Solution: P = (n-1)! P = (7-1)! P = 6! P = 720 ways

9. activity:

10. Directions: Solve the following permutations 1. In how many ways can King Arthur arrange 8 knights around a round table? 2. In how many ways can the 10 swimmers on an aquatic ballet team be arranged in a circular pattern?