SOLUTION: You have three different tops, two different hoodies, and four different pairs of jeans hanging in your closet. How many ways can these items be arranged in the closet if the tankt
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Question 1168187: You have three different tops, two different hoodies, and four different pairs of jeans hanging in your closet. How many ways can these items be arranged in the closet if the tanktops, hoodies and jeans must be together? Answer by VFBundy(438) (Show Source):
You can put this solution on YOUR website! You can arrange the tops 6 different ways (3*2*1), the hoodies 2 different ways (2*1), and the jeans 24 different ways (4*3*2*1). This means you can arrange the clothes 288 different ways (6*2*24).
Furthermore, you can arrange the sets of the clothes 6 different ways in the closet:
TOPS - HOODIES - JEANS
TOPS - JEANS - HOODIES
HOODIES - TOPS - JEANS
HOODIES - JEANS - TOPS
JEANS - TOPS - HOODIES
JEANS - HOODIES - TOPS
This means there are a grand total of 1728 ways (288*6) you can arrange the clothes in the closet.
