CIRCULAR PERMUTATION_grade 10_solves problems involving permutations
- 1. GOOD MORNING
- 4. WHAT IS A CIRCULAR PERMUTATIONS? A circular permutation is the arrangement of objects in a circular manner.
- 5. Duu Sheng has to arrange four guests Aaron (A), Bernard (B), Caren (C), and Dharella (D) around a table. What are the possible arrangements?
- 7. The number of circular permutations of n different things is: P=(n-1)! CASES OF CIRCULAR PERMUTATIONS The number of circular permutations of n different things around a key ring and the like: P=(n-1)! 2
- 8. How many ways can 10 different colored toy horses be arranged in a merry-go- round? Example
- 9. Example Snow white arranges the seven dwarfs around a many-pole? a. How many ways can she arrange them? b. In how many ways can she do it if Doc & Sleepy are to be together
- 10. SOLVE THE QUESTION AND SHOW YOUR SOLUTION Find the number of circular permutations of seven dancers.
- 11. In how many ways can ten keys be arranged on a key ring? Example
- 12. Example In how many ways can eight different colored beads be arranged on a bracket?
- 13. SOLVE THE QUESTION AND SHOW YOUR SOLUTION How many ways can 5 different keys be arranged on a key ring?
- 14. n objects on a circle are arranged relative to a fixed point. P= n! Special CASES OF CIRCULAR PERMUTATIONS n objects on a ring, bracelet or necklace are arranged with a clasp (or any fixed point) P=n! 2
- 15. Seven people are to be seated at a round table. One of them is to be seated close to the window. How many arrangements are possible? Example
- 16. Twelve beads, no two of which are the same, are to be strung in a necklace with a clasp. In how many ways can it be done? Example
- 17. Explain why there are (n-1) circular permutations of n distinct items.
- 18. 1. In how many ways can five children sit at a round table? 2. In how many ways can 10 students join hands to form a ring? 3. In how many ways can three females and five males arrange themselves in a circle? 4. In how many ways can six keys be placed on a keychain? 5. In how many ways can five people be seated around a table if John and Lloyd insist on sitting next to each other? Answer the ff:
- 19. Thank you