Question

When deciding on an outfit, Alex can choose from 3
pairs of shoes, 3 pairs of pants, and 6 shirts. How many
different outfits are possible, if Alex chooses exactly 1
pair of shoes, 1 pair of pants, and 1 shirt?

F.
136
G.
54
H.
36
J.
15
K.
12

Answer 1

To find the total number of different outfits Alex can create, we can use the multiplication principle of counting. Alex has the following choices:

- 3 pairs of shoes,
- 3 pairs of pants,
- 6 shirts.

The total number of outfits can be calculated by multiplying the number of choices for each category:

\[
\text{Total outfits} = (\text{number of shoes}) \times (\text{number of pants}) \times (\text{number of shirts})
\]

Substituting in the numbers:

\[
\text{Total outfits} = 3 \times 3 \times 6
\]

Calculating this step-by-step:

1. Calculate the number of combinations of shoes and pants:
\[
3 \times 3 = 9
\]

2. Now multiply by the number of shirts:
\[
9 \times 6 = 54
\]

Thus, the total number of different outfits possible is \( 54 \).

The answer is **G. 54**.