MAT 142 3.1 Intro to counting methods
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Description
MAT 142 Problem set
Unit: Probability
Topic: Introduction to counting methods
Directions: Solve the following problems. Please show your work and explain your reasoning.
- 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?
- 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?
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