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ACT Math 6.1 Pre-Algebra 281 Views


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ACT Math: Pre-Algebra Drill 6, Problem 1. How many different outfits can be made from a choice between three different shirts, four different pairs of pants, and three pairs of shoes?

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Transcript

00:03

Come shmoop with us...

00:06

How many different outfits can be made from

00:07

a choice between three different shirts, four different pairs of pants, and three pairs

00:11

of shoes? For now, don't worry about clashing.

00:15

And here are the potential answers...

00:20

OK so what is this question asking?

00:22

It's really about figuring out totals in probability questions.

00:25

Like... if we have 3 dice with 6 sides, how many possible outcomes are there?

00:31

Well there are 6 times 6 times 6... whatever that is.

00:34

In this case, if we really want the gory details, we can make 3 columns which look like this:

00:40

Let's just pick some colors to make life easier.

00:43

OK, so in shirts we have pink, green and yellow. Yeah, this is Buffy's closet.

00:46

In pants, we have brown, black, blue and white.

00:49

And in shoes we have orange, yellow and purple. That's one way to make a statement.

00:54

So if we wanted to just brute force the process, we could take choice 1 in each column like this.

00:59

Then all choice 1 in shirts and pants... but taking the 2nd choice in shoes.

01:05

Then roll again and take the 3rd choice in shoes.

01:08

And if we lather rinse repeat the whole way through, it'd look like this.

01:14

ORRR... We could just multiply 3 times 4 times 3 and get 36...

01:18

...which is the total number of choices.

01:20

The right answer is E.

01:21

As in, "Evening wear."

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