Jose has to choose from 36 different ways.
What is the Combination?
The various ways in which objects from a set may be selected, generally without replacement to form subsets is known as combination.
For the given situation,
Pairs of pants = [tex]2[/tex]
T-shirts = [tex]6[/tex]
Pairs of shoes = [tex]3[/tex]
The formula to find the number of ways using combination = [tex]nC_{r}[/tex]
Number of ways of picking the outfit = [tex](2C_{1}) (6C_{1}) (3C_{1} )[/tex]
⇒ [tex](2)(6)(3)[/tex]
⇒ [tex]36[/tex]
Hence we can conclude that Jose has to choose from 36 different ways.
Learn more about combinations here
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