[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, �=20n=20 (total students) and �=2r=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

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