SOLUTION: 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, a
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-> SOLUTION: 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, a
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Question 204800: 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) (Show Source):
You can put this solution on YOUR website! a)
nP = n!
7P = 7!
=7*6*5*4*3*2
=5040
.
b)
nCr = n!/[(n-r)!*r!] because arrangement is not important
7C3
= 7!/(7-3)!*3!
=( 7*6*5*4!)/(4!*3!)
=(7*6*5)/(3*2)
=35 ways
.
Ed
