Files A Real Estate Agent Is Show (12 pts)2. A real estate agent is showing home

Question

Files A Real Estate Agent Is Show (12 pts)2. A real estate agent is showing homes to a prospective buyer. There are twelvehomes in the desired price range listed in the area. The buyer has time to visit only fiveof them. a.In how many ways could the fivehomes be chosen if the order of visiting is considered? b.In how many ways could the fivehomes be chosen if the order is disregarded? c.If eight of the homes are new and fourhave previously been occupied and if the fivehomes to visit are randomly chosen, what is the probability that exactly four ofthehomes to visit are new?

Explanation / Answer

a) number of ways to select 5 out of 12 if order is important =12P5 =12!/(12-5)! =95040

b) number of ways to select 5 out of 12 if order is unimportant =12C5 =12!/(5!*(12-5)!) =792

c)

probability that exactly 4 of homes are nw) =P(selecting 4 out of 8 new Home and 1 out of 4 old)

=8C4 *4C1 /12C5 =70*4/792 =280/792 =0.3535

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