laura favorite clothes are five sweater, four skirts, three jackets, two pairs of shoes and one belt. how many ways can laura wear her favorite clothes without repeating the exact outfit

5 * 4 * 3 * 2

20 To calculate the number of ways Laura can wear her favorite clothes without repeating the exact outfit, we can apply the concept of permutations.

First, let's calculate the total number of clothes Laura has: 5 sweaters + 4 skirts + 3 jackets + 2 pairs of shoes + 1 belt = 15 total clothing items.

Now, let's consider the different categories of clothes Laura has: sweaters, skirts, jackets, shoes, and belt.

To calculate the number of ways to choose an outfit without repeating, we will multiply the number of choices from each category:

Number of ways to choose a sweater = 5
Number of ways to choose a skirt = 4
Number of ways to choose a jacket = 3
Number of ways to choose a pair of shoes = 2
Number of ways to choose a belt = 1

Using the principle of multiplication, we can multiply the choices from each category to get the total number of outfit combinations:

Total number of outfit combinations = (Number of ways to choose a sweater) * (Number of ways to choose a skirt) * (Number of ways to choose a jacket) * (Number of ways to choose a pair of shoes) * (Number of ways to choose a belt)
= 5 * 4 * 3 * 2 * 1
= 120

Therefore, Laura can wear her favorite clothes in 120 different ways without repeating the exact outfit.