IzzacI322330 IzzacI322330

25-10-2022
Mathematics

contestada

4) Johnny Awesome has 16 books. He wants to take 4 on vacation. How many different combinations of books canJohnny make?

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KamaleiR397583 KamaleiR397583

25-10-2022

Explanation

Since Johnny has 16 books and wants to select 4 for his vacation, we will have;

[tex]16C4=\frac{16!}{(16-4)!4!}=\frac{16!}{12!4!}=\frac{16\times15\times14\times13\times12!}{12!\times4\times3\times2\times1}=2\times5\times14\times13=1820[/tex]

Answer: 1820 combinations

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