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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8863ee65-e738-400c-bb7f-4fc0b772eb4b%2Fd7dc3834-84a6-41c0-a362-fb69e114a722%2Fltwao3c_processed.jpeg&w=3840&q=75)
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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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