# [Solved] In How Many Ways 2 Students Can Be Chosen From The Class Of 20 Students?

To choose 2 students from a class of 20 students, we use combinations since the order in which the students are chosen does not matter.

The formula for combinations is:

�(�,�)=�!�!(�−�)!*C*(*n*,*r*)=*r*!(*n*−*r*)!*n*!

Where:

- �
*n*is the total number of items. - �
*r*is the number of items to choose.

In this case, �=20*n*=20 (total students) and �=2*r*=2 (students to be chosen).

**Step 1:** Plug in the values into the formula:

�(20,2)=20!2!(20−2)!*C*(20,2)=2!(20−2)!20!

Now, let’s compute the number of ways 2 students can be chosen from a class of 20 students.

Finished working

Show work

In a simplified manner, 2 students can be chosen from a class of 20 students in 190190 different ways.