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A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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
Transcribed Image Text:Use the multiplication principle to answer each of the questions below.
a. Suppose an outfit consists of a shirt, pants, and shoes. If you have 4 shirts, 7 pairs of pants and 3 pairs of shoes
to choose from, how many different outfits can you create?
1.
b. Carlos is almost old enough to go to school! Based on where he lives, there are 6 elementary schools, 3 middle
schools, and 2 high schools that he has the option of attending. How many different education paths are
available to Carlos, assuming he attends only one of each type of school?
c. Suppose you are working with a contractor to design your dream kitchen. You may choose countertops,
cabinets, a paint color, and floor style. The contractor has 17 different types of countertops, 34 different
cabinets, 102 different paint colors, and 12 different floor styles. How many different dream kitchens can this
contractor design?
d. At Baskin Robbins customers may choose from 32 flavors of ice cream, 7 toppings, and 4 different types of
cones. How many different one topping, once scoop cones are possible?
e. Suppose you are given 5 pairs of eyes, 4 sets of eyebrows, 2 noses, 5 mouths and 7 hairstyles to choose from.
How many possible faces can you make using the features given if each face you make has a pair of eyes, a
pair of eyebrows, a nose, a mouth, and one of the given hairstyles?
f. Piraullis pizza joint offers a mix and match pizza on its menu. There are 4 different meats to choose from, 5
different vegetables, 4 different types of cheese, and 2 different types of crust. How many different types of
Pizza can be made by choosing 1 type of meat, 1 vegetable, 1 cheese and 1 crust?
Expert Solution
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We’ll answer the first question since the exact one wasn’t specified.
Please submit a new question specifying the one you’d like answered.
a) Given that I have 4 shirts, 7 pairs of pants, 3 pairs of shoes.
So I can choose a shirt in 4 ways, a pant in 7 ways and a pair of shoes in 3 ways.
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