Question

eight people are entered in a race. If there are no ties, in how many ways can the top three places come out?

Answer 1

Step-by-step explanation:

Permutation bothers on arrangement. SInce there are 8 people that entered the race, in order to know how many times top 3 will come out, we will express it as;

`\begin{gathered} 8P3\text{ = }(8!)/((8-3)!) \\ 8P3\text{ = }(8!)/(5!) \\ 8P3\text{ = }(8\cdot7\cdot6\cdot5!)/(5!) \\ 8P3\text{ = 8}\cdot7\cdot6 \\ 8P3\text{ = }336\text{ways} \end{gathered}`

Hence the number of ways the top three places will come out is 336ways