At a competition with 6 runners, 6 medals are awarded for first place through sixth place. Each medal is different. How many ways are there to award the medals? Decide if the situation involves permutation or a combination, and then find the number of ways to award the medals

Answer:There are 720 ways to award the medalsStep-by-step explanation:* Lets explain the difference between permutations and combinations- Both permutations and combinations are collections of objects- Permutations are for lists (order matters)  - Combinations are for groups (order doesn't matter)  - A permutation is an ordered combination.  - Permutation is nPr, where n is the total number and r is the number    of choices# Example: chose the first three students from the group of 10   students, n = 10 and r = 3,then 10P3 is 720- Combinations is nCr, where n is the total number and r is the number     of the choices# Example: chose a group of three students from the group of 10   students n = 10 and r = 3,then 10C3 is 120* Lets solve the problem- There are six runner- There are 6 medals awarded for first place through sixth place- Each medal is different- The order is important because they arranged from 1st position to   the 6th position∴ We will use the permutation∵ There are 6 medals for 6 runners∵ 6P6 = 6 × 5 × 4 × 3 × 2 × 1 = 720∴ There are 720 ways to award the medals