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?

Question

asked Sep 15, 2023 70.0k views

1 Answer

Arnab Datta · Answer 1 · 2023-09-20T15:39:32+0000

Answer:

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;

Solving we have;

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

Therefore, the number of groupings is 45