- #1

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## Homework Statement

You have 4 red, 7 blue, and 12 white bricks and grab a random handful of 6 bricks.

a) How many handfuls will contain exactly 3 red bricks?

b) How many handfuls will contain exactly 2 of each color?

c) How many handfuls will be all the same color?

d) How many handfuls will contain at least one red brick?

## Homework Equations

Nothing comes to mind

## The Attempt at a Solution

I assume bricks of the same color are identical.

a) {b b b}, {b b r,} {b r r},{ r r r} so I think there are 4 ways to get a hand of 3 red bricks. Is there a formula I should use?

b) Only one way to do this.

c) Only two ways to do this since there is not enough red.

d) I think at least one red is equal to the total number of handfuls minus handfuls of no reds. No reds implies only blue and white only. Can anyone help me on the setup here? I'm guessing a similar approach to the method in a), but perhaps there's a way to extrapolate this idea into an equation (combinations maybe)?

Could you tell me if you agree with a), b), and c)?