SOLUTION: Find the possible outcomes Four rooms in a house need to be painted. Each room can be painted white, yellow, or pink. Would you please provide reasoning for every step?

Question 1106208:
Find the possible outcomes
Four rooms in a house need to be painted. Each room can be painted white, yellow, or pink.
Would you please provide reasoning for every step?
Thank you so much
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
There are or possible outcomes.
Make a spreadsheet with 81 rows, 4 columns.
4th column (4th room) put in W,Y,P repeating each row.
3rd column (3rd room) put in W,Y,P repeating every 3rd row.
2nd column (2nd room) put in W,Y,P repeating every 9th row.
1st column (1st room) put in W,Y,P repeating every 27th row.
W W W W
W W W Y
W W W P
W W Y W
W W Y Y
W W Y P
W W P W
W W P Y
W W P P
W Y W W
W Y W Y
W Y W P
W Y Y W
W Y Y Y
W Y Y P
W Y P W
W Y P Y
W Y P P
W P W W
W P W Y
W P W P
W P Y W
W P Y Y
W P Y P
W P P W
W P P Y
W P P P
Y W W W
Y W W Y
Y W W P
Y W Y W
Y W Y Y
Y W Y P
Y W P W
Y W P Y
Y W P P
Y Y W W
Y Y W Y
Y Y W P
Y Y Y W
Y Y Y Y
Y Y Y P
Y Y P W
Y Y P Y
Y Y P P
Y P W W
Y P W Y
Y P W P
Y P Y W
Y P Y Y
Y P Y P
Y P P W
Y P P Y
Y P P P
P W W W
P W W Y
P W W P
P W Y W
P W Y Y
P W Y P
P W P W
P W P Y
P W P P
P Y W W
P Y W Y
P Y W P
P Y Y W
P Y Y Y
P Y Y P
P Y P W
P Y P Y
P Y P P
P P W W
P P W Y
P P W P
P P Y W
P P Y Y
P P Y P
P P P W
P P P Y
P P P P

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