Answer:
The answer is 120. I just did this lesson and tbh i guessed and got it right :)
Step-by-step explanation:
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
[tex]\frac{10}{3}C[/tex]
= [tex]\frac{10!}{(10-3)!3!}[/tex]
= [tex]\frac{10!}{(7!)(3!)}[/tex]
= [tex]\frac{3628800}{(7!)(3!)}[/tex]
= [tex]\frac{3628800}{(5040)(6)}[/tex]
= [tex]\frac{3628800}{30240}[/tex]
= 120
Option B 120 different combinations of novels can a freshman student choose to write reports.
