Ts2 Qr15

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cherr1pop

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I understand we have to use combination to solve it but don't we have to factor in that we have roses in only 3 colors when we have 10 roses?
i feel like the solution they give would be for the question 'how many arrangements of 3 roses are possible if we have 10 roses all different colors'? i feel like the answer would be a lot less than 120...
could someone explain? thanks in advance.
 
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