Question

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

Explanation:

Step1: Identify the number of items

Makayla has 4 textbooks, so the number of items \( n = 4 \).

Step2: Use the permutation formula for \( n \) distinct items

The number of permutations of \( n \) distinct items is given by \( n! \) (n factorial), where \( n! = n\times(n - 1)\times(n - 2)\times\cdots\times1 \). For \( n = 4 \), we calculate \( 4! \).
\( 4! = 4\times3\times2\times1 \)

Step3: Calculate the value of \( 4! \)

\( 4\times3 = 12 \), \( 12\times2 = 24 \), \( 24\times1 = 24 \).

Answer:

24