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Sanjay is building a set of reference materials for his office. He can choose from $4$ dictionaries and $2$ thesauruses. Assuming he wants only one of each type of book, how many different sets of reference materials can Sanjay put together? $\newline$ $\_\_\_\_$ sets

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Counting principle

Full solution

Q. Sanjay is building a set of reference materials for his office. He can choose from

4

dictionaries and

2

thesauruses. Assuming he wants only one of each type of book, how many different sets of reference materials can Sanjay put together?

\newline

\_\_\_\_

sets

Count Choices: Step $1$ : Count the choices for dictionaries and thesauruses. Sanjay has $4$ dictionary options and $2$ thesaurus options.
Apply Principle: Step $2$ : Apply the Basic Counting Principle. Multiply the number of choices for dictionaries by the number of choices for thesauruses to find the total number of different sets. Calculation: $4$ dictionaries $\times 2$ thesauruses $= 8$ sets.

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