Step 1:
The permutation is the number of different arrangement which can be made by picking r number of things from the available n things. The combination is the number of different groups of r objects each, which can be formed from the available n objects.
Permutation represent arrangement
Combination represent selection
Step 2:
The question is combination because its involved chosen or selection.
Step 3:
Number of ways of selecting 3 books from 8 books
n = 8 and r = 3
[tex]\begin{gathered} ^{}^{}Numberofwaysofselectingrobjectsoutofnobjects=^nC_r \\ =\text{ }\frac{n!}{(n-r)!r!} \\ =\text{ }\frac{8!}{(8-3)!3!} \\ =\text{ }\frac{8!}{5!3!} \\ =\text{ }\frac{8\times7\times6\times5!}{5!\times3\times2\times1} \\ \text{Cancel out common factors} \\ =\text{ }\frac{8\times7\times6}{6} \\ =\text{ 56 ways} \end{gathered}[/tex]Final answer
Option C 56
