Home
/
Math
/
Tori Is Building a Set of Reference Materials for Her Office. She Can Choose from 6 Dictionaries, 2 Thesauruses, 3 Writing Guides, and

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

Solution

Expert Verified
4.3 (171 Votes)
Cameron Master ยท Tutor for 5 years

Answer

### 108

Explanation

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