If Sam has 6 different hats and 3 different scarves, how many different combinations could he wear?

Solution:

Given, Sam has 6 different hats and 3 different scarves.

If there are 6 different ways of selecting the hats and 3 different ways of selecting the scarves, then there are 6 × 3 ways of selecting the combinations.

Number of combinations = 6 × 3

= 18 ways

Therefore, he could wear 18 different combinations.

Example: If Sam has 6 different hats and 8 different shirts, how many different combinations could he wear?

Solution:

Given, Sam has 6 different hats and 8 different shirts.

Number of combinations = 6 × 8

= 48 ways

Therefore, he could wear 48 different combinations.

If Sam has 6 different hats and 3 different scarves, how many different combinations could he wear?

Summary:

 If Sam has 6 different hats and 3 different scarves, he could wear 18 different combinations.