You have to answer 3 essay questions for an exam. There are 6 essays to choose from. How many different groups of 3 essays could you possibly choose?
What is C(6,3)?
= 6!/(3!3!)
=
(six choose 3, a term in combination study)
To determine the number of different groups of 3 essays you could possibly choose from, we can use the concept of combinations.
The number of combinations is given by the formula:
C(n, r) = n! / (r!(n-r)!)
In this case, we have 6 essays to choose from (n = 6), and we need to choose 3 of them (r = 3).
Plugging these values into the formula, we get:
C(6, 3) = 6! / (3!(6-3)!)
= 6! / (3!3!)
= (6*5*4) / (3*2*1)
= 20
Therefore, you could possibly choose from 20 different groups of 3 essays.