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the most trivial probability Combinations problem xD

ConvinceMePlease
in Homework Help

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Hello everyone

 

I had a thought of 3 rose problem (red violet and yellow), what is the combinations possible?  

 

initially what I did was 3C3 (combinations operation) but it didnt work

 

is the correct solution 3C1 + 3C2 + 3C3?

 

becuz when I gave it a thought, possiblities were:

1) 3 redundant roses (3 red or 3 yellow or 3 Violet): TOtal of 3 choices

2) 2 redundant roses and one not: Total of 6 choices

(2 red 1 Violet

2 red 1 yellow 

2 Violet 1 red

2 violet 1 yellow

2 yellow 1 red

2 yellow 1 violet)

3) 1 choice of 3 different colours (1 red 1 yellwo 1 violet)

have I solved it the shortest way? do I have to do it like   3C1 + 3C2 + 3C3? or is there shorter path?

 

thanks!

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