**Frank has 8 hats, 5 scarves, and 4 pairs of gloves. How many distinct outfits, each consisting of a hat, scarf, and pair of gloves, can Frank create? **

A. 17

B. 80

C. 160

D. 458

E. 480

**Knowsys Method**

**Read the problem carefully. **

**Identify the bottom line. ** The number of distinct combinations = ?

**Assess your options. **You could start creating “outfits,” but we are looking at a large number so this will not be effective. Let’s use what we know about counting methods.

**Attack the problem.**

Since an “outfit” consists of 1 of each item, the number of permutations will be: 8 x 5 x 4 = 160 (good thing we didn’t try to count them!)

The most common mistake here is adding (for answer A) rather than multiplying the options.

**Loop back. **Verify that you solved for the bottom line.

The correct answer is **160**. Pick **C**.

**Level = Medium **

**Want some help reviewing the math concepts you need to master? Try these Knowsys resources:**

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