Tam has picked up 5 different books that interest him in the school library, but he can only check out a maximum of 3. The number of different combinations he can check out is 10.
What is combination?
The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.”
Number of combinations = [tex]{n}_C_{k} = \frac{n!}{k!(n-k)!}[/tex]
where, n = total number of objects in the set and r = number of choosing objects from the set.
Number of books = 5
Maximum number of books which can be checked out = 3
Number of combinations = [tex]{5}_C_{3} = \frac{5!}{3!(5-3)!} = \frac{5!}{2!3!} = 10[/tex]
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