# MAT 142 3.1 Intro to counting methods

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MAT 142 Problem set

Unit: Probability

Topic: Introduction to counting methods

1. Suppose you have socks loose in a drawer. You have a black sock, a gray sock and a tan sock.

How many outcomes are there for selecting 2 socks?

a. Make a tree diagram to model the selection of 2 socks WITHOUT REPLACEMENT. (That

is, you keep the sock out of the drawer and there is now one less sock to choose from)

b. How many ways can you select 2 socks without replacement?

c. How many ways can you get a black and a tan sock?

1. LaDonna works at a western themed restaurant. She has to wear jeans with a white shirt and a

bola tie. She has 3 pairs of jeans, 4 white shirts and 2 bola ties. How many different outfits can

she make?

MAT 142
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Excerpt from file: MAT 142 Problem set Unit: Probability Topic: Introduction to counting methods Directions: Solve the following problems. Please show your work and explain your reasoning. 1. Suppose you have socks loose in a drawer. You have a black sock, a gray sock and a tan sock. How many outcomes are there for

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