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

220

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\\=(12(11)(10))/(6) \\=220`

Option B is right answer.