Question

18. There are 44 runners in a race, and no ties. In how many ways can the first three finishers be chosen from the 44 runners, regardless of how they are arranged?

Answer 1

Since the total number of runners is 44

Since we need to choose the first 3

Then we will use the combination

`^(44)C_3=(44*43*42)/(3*2*1)`

Simplify it to get the answer

`^(44)C_3=44*43*7=13244`

There are 13244 ways to choose them