Question

The freshman class has 160 students. Each freshman must write three reports from a list of 12 novels that the teacher has assigned them to read. How many different combinations of novels can a freshman student choose to write reports on?A. 36B. 220C. 480

Answer 1

Answer:

220

Step-by-step explanation:

Given that the freshman class has 160 students.

Each freshman must write three reports from a list of 12 novels that the teacher has assigned them to read

Here order does not matter.  Hence combinations can be used.

No of available options  = 12

No to be selected =3

Possible number of ways = ways of selecting 3 from 12 where order does not matter

= $12C3\\=\frac{12(11)(10)}{6} \\=220$

Option B is right answer.