Respuesta :
Answer:
24 days
Step-by-step explanation:
4 t-shirts × 3 jeans × 2 sandals = 24 possible combinations
The number of days in a row could Jody's wear a different outfit using only her favorite clothes is 24 days.
What is a combination?
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items. It is a way of selecting items from a collection where the order of selection does not matter.
For the given situation,
Number of shirts = 4
Number of pair of pants = 3
Number of pair of shoes = 2
The selection can be done by using combinations.
Number of days in a row could Jody's wear a different outfit using only her favorite clothes is
⇒ [tex](4C_{1} )(3C_{1} )(2C_{1} )[/tex]
⇒ [tex](4)(3)(2)[/tex]
⇒ [tex]24[/tex]
Hence we can conclude that the number of days in a row could Jody's wear a different outfit using only her favorite clothes is 24 days.
Learn more about combinations here
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