Respuesta :
Answer:
79,464 ways
Explanation:Total number of runners in the race = 44
Number of ways one of the runners will finish first = 44 ways
Since the first position has already emerged, there are 43 runners left
Number of ways one of the runners will finish second = 43 ways
Two runners have already emerged as the first and second position respectively, there are 42 runners left
Number of ways one of the runners will finish third = 42 ways
Therefore, the number of ways the runners can finish first, second, and third = 44 x 43 x 42
The number of ways the runners can finish first, second, and third = 79,464
This can also be done by using 44P3
[tex]\begin{gathered} 44P3=\frac{44!}{(44-3)!} \\ 44P3\text{ =}\frac{44!}{41!} \\ 44P3\text{ = 44 }\times43\text{ }\times\text{ 42} \\ 44P3\text{ = 79464} \end{gathered}[/tex]