if there are 20 students in a 5th grade class. Four of these students will be selected to be patrols. In how many ways can the four patrols be selected?

Respuesta :

Answer:

There are 4845 ways to select four patrols

Step-by-step explanation:

Total number of students in 5 th grade = 20

No. of students selected for patrols = 4

We are supposed to find In how many ways can the four patrols be selected

We will use combination

Formula : [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Substitute n = 20 and r = 4

So,the four patrols can be selected in no. of ways = [tex]\frac{20!}{4!(20-4)!}=4845[/tex]

Hence There are 4845 ways to select four patrols