[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.