SOLUTION: I missed this one on my exam as well please show your support T-Aun At an annual flower show, 7 different entries are to be arranged in a row. a) How many different arr

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Question 199875: I missed this one on my exam as well please show your support T-Aun


At an annual flower show, 7 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 edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a) 7! = 7*6*5*4*3*2=5040 different arraingments
.
b)
This is a permutation because the arrangement of the pirzes is important.
nPr = 7P3 = 7!/(7-3)! = 7*6*5*4!/4! =7*6*5=210
.
Ed