Aery is coloring the three segments of a pinwheel with rainbow colors (red, orange, yellow, green, blue, indigo, or purple). By the way the pinwheel only has 3 segments so she colors all of them

Guest Aug 9, 2022

#1**0 **

OOPS I FORGOT TO ADD THIS

I made a list of possible colors and this is how it looks so far

Red Oragne YelloW

Red oragne green

red orange blue

red orange indigo

red orange purple

I made this list because i am more of a visual learner but any help would be appreciated

Guest Aug 9, 2022

#2**0 **

Don't list them all out. That's an unwritten rule for solving a counting math problem.

For the first segment, you have 7 colors to choose from.

For the second and third segment, you also have 7 choices for both of them. Therefore, there would be 7^3 = 343 ways to color all of them.

Yikes, if you listed them all out, you would have 343 ways!

Voldemort Aug 9, 2022

#3**+1 **

I'm also a visual learner, so here is what I think should help you visualize it.

These are the three spaces --> _ _ _

_ _ _

R R R

O O O

Y Y Y

G G G

B B B

I I I

P P P

These are the seven choices for each space

So lets cut it down to 2 spaces to make it easier

Each choice of the first space has 7 choices for the next space

the same for each number going down the list

R has 7 choices for the next space, O has 7 choices for the next space, and so on

=> This makes 7 + 7 + 7 + 7 + 7 + 7 + 7 = 7 * 7 = 7^2

So if you repeat this method for 3 spaces, you get 7^3 which equal 343 ways.

Hope this helps! :)

calvinbun Aug 9, 2022