SOLUTION: At an annual flower show, 6 different entries are to be arranged in a row. a) How many different arrangements of the entries are possible? b) If the owners of the 1st, 2nd, and

Question 127241: At an annual flower show, 6 different entries are to be arranged in a row.
a) How many different arrangements of the entries are possible?
b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
a) 6 ways to pick the first one in line, times 5 ways to pick the second, and so on, also expressed as . You do the arithmetic.
b) Since you are giving 3 different prizes, the order of the outcome is significant. Therefore, you need the Permutation of 6 things taken 3 at a time. The formula for the Permutation of n things taken r at a time is . Again, you do the arithmetic.
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