How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
Answers
Answer:
80 i believe.
5 x 8 x 2 = 80.
Given,
A person has a total of 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes.
To find,
The number of outfits the person has.
Solution,
The person has a total number of 80 outfits.
We can simply solve the mathematical problem by the following procedure.
We know that,
A person has a total of 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes.
Now,
We assume that the person has to wear one of all three items, i.e., jeans, a t-shirt, and shoes. Hence, we can find the total number of outfits that the person can wear by choosing one of all the three items he has in the closet with the help of permutation and combination.
Thus,
The total number of outfits that the person has = ⁵C₁ x ⁸C₁ x ²C₁
= 5 x 8 x 2
= 80
As a result, the total number of outfits that the person has is 80.