2 pairs of shoes, 5 pairs of pants, and 6 shirts on a trip. Assuming all items are compatible, how many different outfits can be worn?
70. I've always learned to draw a tree. You have two types of shoes (A and B). Then you have 5 pairs of pants (A through E) and 6 shirts (A through F). So when you draw a chain (aaa, aab, aac, aad, aae, aae, aaf, aba, etc) you end up with 70.
45
To find the number of different outfits that can be worn, we need to multiply the number of options for each item together.
Given:
- 2 pairs of shoes
- 5 pairs of pants
- 6 shirts
To find the number of outfits, we multiply the number of options for each item:
Number of outfits = number of shoe options * number of pant options * number of shirt options
Number of outfits = 2 * 5 * 6
Number of outfits = 60
Therefore, there can be a total of 60 different outfits that can be worn with 2 pairs of shoes, 5 pairs of pants, and 6 shirts.