Answer:
There are 720 ways to award the medals
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