Question

How many different outfits can be made
if Jessica chooses 1 each from 11 skirts, 9 blouses,
3 belts, and 7 pairs of shoes?

Answer 1

Answer: 2079

Step-by-step explanation: 11 x 9 x 3 x 7 = 2079, there are 2079 possible combinations of outfits

Answer 2

Using the Fundamental Counting Theorem, it is found that 2079 different outfits can be made.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

In this problem, considering the options, we have that $n_1 = 11, n_2 = 9, n_3 = 3, n_4 = 7$.

Hence, the total number of options is given by:

N = 11 x 9 x 3 x 7 = 2079.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

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