Question 869294: I need some help with a couple word problems from my discrete math book: books.google.com/books?isbn=0470457937
Here are the Permutation and Combination questions:
A) Since there will not be more than 500 million people in the United States before the year
2050, how many digits are needed to provide every person with a personal zip code?
B) An individual won a raffle and can choose a prize from one of four lists. The first list contains 19
possible prizes while the second, third, and fourth lists include 14, 21, and 18 items, respectively. How many prizes does the raffle winner have to choose from?
C) Suppose you are taking a bus trip from your home in Florida to California. There are seven different bus services offering trips from Florida to Arizona, four offering trips from Florida to Texas, eight offering trips from Arizona to California, and seven offering trips from Texas to California. How many possibilities are there for a bus ride from Florida to California, via either Arizona or Texas?
D) How many different eight-card hands are there that contain exactly two suits, with four cards from each
suit?
Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! D)
13C4 * 4C1 * 13C4 * 3C1 Four of the 13 ranks and one of four suits times four of 13 ranks and one of three suits
=715*4*715*3
=6,134,700
.
Ed
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