Question

A professor decided he was only going to grade 8 out of 10 HW problems he assigned. How many different groupings of HW problems could he grade?

Answer 1

The number of groupings is 45

Step-by-step explanation:

Given that the professor decided he was only going to grade 8 out of 10 HW problems he assigned.

We want to calculate the number of ways the professor can grade the HW.

Which is a conbination;

`10C8`

Solving we have;

`\begin{gathered} n=10C8=(10!)/(8!(10-8)!) \\ n=45 \end{gathered}`

Therefore, the number of groupings is 45