natalie is organizing textbooks on her bookshelf. she has a spanish textbook, a biology textbook, a physics textbook, and a health textbook. how many different ways can she line the textbooks up on her bookshelf?

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15-11-2022
Mathematics

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natalie is organizing textbooks on her bookshelf. she has a spanish textbook, a biology textbook, a physics textbook, and a health textbook. how many different ways can she line the textbooks up on her bookshelf?

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Qwbox Qwbox · Answer 1 · 2022-11-18T10:17:10-05:00

Natalie can line up her textbooks in 24 different ways on her bookshelf.

Natalie has a Spanish book, a biology book, physics book, and a health text book.

So, she has a total of 4 books in her book shelf.

So, the number of positions in which the books have to be put are four.

As we can see,

The books are only one in number each. So, the choices are not repeatable.

So,

In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.

So, the total different ways in which she can line up her books in the bookshelf are,

= 4×3×2×1

= 24

So, there are 24 different ways possible.

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