Question

The freshman class has 160 students. Each freshman must write 3 reports from a list of 10 novels that the teacher has assigned them to read. How many different combinations of novels can a freshman student choose to write reports on? 30 120 480

Answer 1

The answer is 120. I just did this lesson and tbh i guessed and got it right :)

Explanation:

Answer 2

Option B. 120

Explanation:

The freshman class has students = 160

Total number of novels = 10

As, each freshman must write 3 reports , means selecting 3 novels out of 10 novels.

Here, order of choosing novels is not important.

So, we will apply rule of combinatorics here.

Selecting 3 novels out of 10 novels , is different combinations of novels that a freshman student can choose to write reports on is given by

`(10)/(3)C`

=
`(10!)/((10-3)!3!)`

=
`(10!)/((7!)(3!))`

=
`(3628800)/((7!)(3!))`

=
`(3628800)/((5040)(6))`

=
`(3628800)/(30240)`

= 120

Option B 120 different combinations of novels can a freshman student choose to write reports.