Answer:
There are 95040 ways to chose the starting five players
The answer is d ⇒ Permutation; Ps - 95040
Step-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
- We want to pick starting five players from a basketball team of
twelve players
∵ We will pick the starting five
∴ The order is important
∴ We will use the permutations
∵ The total number of the players is 12
∵ The number of choices is 5
∴ n = 12 and r = 5
∵ The number of ways is nPr
∴ 12P5 = 95040
∴ There are 95040 ways to chose the starting five players
