You are trying frantically to get dressed, and you need to reach into your sock drawer to get two matching socks in the dark. Your sock drawer contains 20 socks, consisting of 10 matched pairs. All of them are only black or white, and they are loose, disorganized randomly, and not bound together. This means you have 10 black and 10 white socks in your disorganized drawer. 1. Let’s say for a moment that all 20 socks are different colors meaning that none match. What is the total number of different ways they could be combined in pairs? 2. Now consider all the socks are only black and white. What is the total number of different ways they could be combined in pairs? (Suggestion: You might consider listing the sample space of all possible outcomes.)
You are trying frantically to get dressed, and you need to reach into your sock drawer to get two
matching socks in the dark. Your sock drawer contains 20 socks, consisting of 10 matched pairs. All of them are only black or white, and they are loose, disorganized randomly, and not bound together. This means you have 10 black and 10 white socks in your disorganized drawer.
1. Let’s say for a moment that all 20 socks are different colors meaning that none match. What is
the total number of different ways they could be combined in pairs?
2. Now consider all the socks are only black and white. What is the total number of different ways
they could be combined in pairs? (Suggestion: You might consider listing the
possible outcomes.)
Step by step
Solved in 3 steps with 2 images
