Question

Julia is casting a play with 4 main roles. Six students
have tried out. How many different combinations of 4
students can Julia cast from the 6 students?

Answer 1

Using the combination formula, it is found that Julia can take 15 combinations.

What is the combination formula?

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

For this problem, 4 students are taken from a set of 6, hence the number of combinations is given as follows:

$C_{6,4} = \frac{6!}{4!2!} = 15$

More can be learned about the combination formula at https://brainly.com/question/25821700

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