Answer:
There are 4845 ways to select four patrols
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 :
![^nC_r=(n!)/(r!(n-r)!)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rkezl5wbzazzlbdtnmxjngin58fpdevcff.png)
Substitute n = 20 and r = 4
So,the four patrols can be selected in no. of ways =
![(20!)/(4!(20-4)!)=4845](https://img.qammunity.org/2021/formulas/mathematics/college/i8mmm3af4wbiy0j17z353p3vif4evcg2ip.png)
Hence There are 4845 ways to select four patrols