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  • A person has 5 different shirts, 4 different pairs of pants, and 3 different pairs of shoes. In how many different ways can they choose an outfit, consisting of one shirt, one pair of pan

A person has 5 different shirts, 4 different pairs of pants, and 3 different pairs of shoes. In how many different ways can they choose an outfit, consisting of one shirt, one pair of pants, and one pair of shoes, if repetition of items is allowed?

Option: 1

120
 


Option: 2

60


Option: 3

150

 


Option: 4

180


Answers (1)

best_answer

To choose an outfit, we need to choose one shirt out of 5, one pair of pants out of 4, and one pair of shoes out of 3. 

Since repetition of items is allowed, we can use the multiplication principle.

The number of ways to choose one shirt out of 5 is 5.

The number of ways to choose one pair of pants out of 4 is 4.

The number of ways to choose one pair of shoes out of 3 is 3.

Using the multiplication principle, we can multiply these numbers to get the total number of ways to choose an outfit:

5\times 4\times 3=60

Therefore, there are 60 different ways to choose an outfit consisting of one shirt, one pair of pants, and one pair of shoes, if repetition of items is allowed.

 

Posted by

Ritika Kankaria

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