Questions: Books: Josephine has five chemistry books, three history books, and four statistics books. She wants to choose one book of each type to study. In how many ways can she choose the three books? The total number of ways Josephine can choose the three books is .

Books: Josephine has five chemistry books, three history books, and four statistics books. She wants to choose one book of each type to study. In how many ways can she choose the three books?

The total number of ways Josephine can choose the three books is .
Transcript text: Books: Josephine has five chemistry books, three history books, and four statistics books. She wants to choose one book of each type to study. In how many ways can she choose the three books? The total number of ways Josephine can choose the three books is $\square$ .
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Solution

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Solution Steps

Step 1: Identify the Number of Books

Josephine has the following books:

  • Chemistry: \(5\)
  • History: \(3\)
  • Statistics: \(4\)
Step 2: Apply the Fundamental Counting Principle

To find the total number of ways to choose one book from each category, we multiply the number of options in each category: \[ \text{Total Ways} = \text{Chemistry Books} \times \text{History Books} \times \text{Statistics Books} \] Substituting the values: \[ \text{Total Ways} = 5 \times 3 \times 4 \]

Step 3: Calculate the Total

Calculating the product: \[ \text{Total Ways} = 5 \times 3 = 15 \] \[ \text{Total Ways} = 15 \times 4 = 60 \]

Final Answer

The total number of ways Josephine can choose the three books is \\(\boxed{60}\\).

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