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

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

Option B. 120

Step-by-step 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

$\frac{10}{3}C$

= $\frac{10!}{(10-3)!3!}$

= $\frac{10!}{(7!)(3!)}$

= $\frac{3628800}{(7!)(3!)}$

= $\frac{3628800}{(5040)(6)}$

= $\frac{3628800}{30240}$

= 120

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