Quote:
Originally Posted by Velvet
A music festival award gives awards for 1st, 2nd and 3rd place in each category. If there are 7 contestants for piano and 9 for violin, in how many different ways could the 6 awards be presented?
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Most critical question, in how many different ways could the 6 awards be presented?
Each of the categories has 3 awards and can't be combined with the other so, if one is being realistic, catagory one has 3 awards and catagory two has three awards.
3 (of anything) only has 6 possible arrangements so the answer would be:
6 different ways for each category or 12 different ways for thoses 6 awards.