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Mathematics 13 Online
OpenStudy (anonymous):

Medal Three cards—one red, one green, and one blue—are to be arranged in a stack. Using R for red, G for green, and B for blue, list all the different stacks that can be formed. (Some computer monitors are called RGB monitors for the colors red, green, and blue. Enter your answers as a comma-separated list.)

OpenStudy (twizttiez):

What do you think?

OpenStudy (twizttiez):

But question what does the RGB monitor thing have to do with anything I'm confused xD

OpenStudy (anonymous):

ignore that part of the question

OpenStudy (twizttiez):

Oh okaii ^-^

OpenStudy (turingtest):

First imagine choosing a card at random. Select one of the colors that the card might be.

OpenStudy (anonymous):

red

OpenStudy (turingtest):

ok, so we have R|dw:1428725979157:dw|

OpenStudy (turingtest):

|dw:1428726020123:dw|Now imagine choosing another card. What color might it be?

OpenStudy (anonymous):

green or blue

OpenStudy (turingtest):

right|dw:1428726104595:dw| so the combos we have so far are RG RB what card might we draw next in each case?

OpenStudy (anonymous):

GB

OpenStudy (turingtest):

you should really say all three cards

OpenStudy (anonymous):

GBR

OpenStudy (turingtest):

we should be careful with the order the first card we drew was R, let's say the next is G so we have the stack RG what is the next card we will draw?

OpenStudy (anonymous):

RB

OpenStudy (turingtest):

no, we are only drawing one card at a time first we drew R, which gave us the stack R then we drew G, which gave us the stack RG if we draw one more card, there is only one color left, so the last card will be...?

OpenStudy (anonymous):

B

OpenStudy (turingtest):

yes, last we will draw B, giving us the stack RGB|dw:1428726399493:dw|

OpenStudy (turingtest):

what about the other branch, where we draw R, then B, giving us the stack RB what will be the third card in this case?

OpenStudy (anonymous):

RG

OpenStudy (turingtest):

you keep saying R again, but we are only drawing one card...

OpenStudy (anonymous):

BG

OpenStudy (turingtest):

again, that is two cards

OpenStudy (anonymous):

green is left

OpenStudy (turingtest):

correct, so we had the hand RB, and after we draw G we will have the stack RBG|dw:1428726590968:dw|

OpenStudy (turingtest):

keep filling up the tree

OpenStudy (turingtest):

so now we imagine drawing a card besides R first

OpenStudy (anonymous):

|dw:1428726717786:dw|

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