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Tori is building a set of reference materials for her office. She can choose from 6 dictionaries, 2 thesauruses, 3 writing guides, and 3 Spanish-English dictionaries Assuming she wants only one of each type of book, how many different sets of reference materials can Tori put together? square sets

Question

Tori is building a set of reference materials for her office. She can choose from 6 dictionaries, 2 thesauruses, 3 writing guides, and 3 Spanish-English dictionaries Assuming she wants only one of each type of book, how many different sets of reference materials can Tori put together? square sets

Tori is building a set of reference materials for her office. She can choose from 6 dictionaries,
2 thesauruses, 3 writing guides, and 3 Spanish-English dictionaries Assuming she wants only
one of each type of book, how many different sets of reference materials can Tori put
together?
square  sets

Solution

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CameronMaster · Tutor for 5 years

Answer

### 108

Explain

## Step 1: Calculate the number of choices for dictionaries.<br />### Tori can choose 1 dictionary out of 6 available dictionaries. This gives her 6 options.<br /><br />## Step 2: Calculate the number of choices for thesauruses.<br />### Tori can choose 1 thesaurus out of 2 available thesauruses. This gives her 2 options.<br /><br />## Step 3: Calculate the number of choices for writing guides.<br />### Tori can choose 1 writing guide out of 3 available writing guides. This gives her 3 options.<br /><br />## Step 4: Calculate the number of choices for Spanish-English dictionaries.<br />### Tori can choose 1 Spanish-English dictionary out of 3 available dictionaries. This gives her 3 options.<br /><br />## Step 5: Calculate the total number of different sets.<br />### To find the total number of different sets Tori can put together, we multiply the number of choices for each type of book: $6 \times 2 \times 3 \times 3 = 108$.
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