A cooperation must appoint a president, CEO, coo, CFO. There are 15 qualified candidates. How many ways can the officers be appointed?
numer of ways = 15 x 14 x 12 = ....
(assuming the order matters, and you have specified positions)
4564
To find the number of ways the officers can be appointed, we can use the concept of permutations, which is used when the order matters.
We have 15 qualified candidates who can be appointed to four different positions: president, CEO, COO, and CFO.
The number of ways to appoint the president is 15 since any of the 15 candidates can be selected for this position.
Once the president is appointed, there are 14 candidates remaining for the CEO position.
After the CEO is appointed, there are 13 candidates remaining for the COO position.
Finally, once the COO is appointed, there are 12 candidates remaining for the CFO position.
To calculate the total number of ways the officers can be appointed, we multiply these individual numbers:
15 × 14 × 13 × 12 = 32,760
Therefore, there are 32,760 ways to appoint the officers.