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3 votes
Hurry! With 2 pairs of jeans AB 4 shirts CDEF and 2 pairs of shoes GH how many different outfits are possible? Use a tree diagram show the possibilities

1 Answer

4 votes

Answer:

Explanation:

To calculate the total number of different outfits possible, we can use the multiplication principle of counting. We multiply the number of choices for each item together to get the total number of outfits.

Number of choices for jeans: 2 (pair of jeans AB)

Number of choices for shirts: 4 (shirts CDEF)

Number of choices for shoes: 2 (pair of shoes GH)

Total number of outfits: 2 x 4 x 2 = 16

Here's a tree diagram showing the possibilities:

modify it

Jeans Shirt Shoes

/\ /\ /\

/ \ / \ / \

A B C D G H

/ \ / \ / \

CDEF CDEF CDEF CDEF CDEF CDEF

/ \ / \ / \ / \ / \ / \

GHGH GHGH GHGH GHGH GHGH GHGH

The tree diagram shows that there are 2 choices for jeans (A or B), 4 choices for shirts (C, D, E, or F), and 2 choices for shoes (G or H). We can follow the branches of the tree to see all the possible outfit combinations, which total to 16.

answered
User SiN
by
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