How many different arrangements of the entries are possible?
If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many prizes can be awarded?
At an annual flower show, 6 different entries are to be arranged in a row...?
There are 6 things taken 6 at a time.
So the possible arrangements are 6! or 6*5*4*3*2*1, or 720.
I don't quite follow the second part of the question. . . there will be only one 1st, 2nd and 3rd awarded for a total of $175 awarded. Do you mean how many possible prizes are there? Each person could get 1st, 2nd or 3rd (assuming each is owned by a different person) so 6 * 3 = 18.
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