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Create a tree diagram to show the total number of outfits, each needing socks, pants and shirts. b. Calculate the total number of outcomes using the fundamental (multiplicative) counting principle

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Talia has just purchased some new clothing items and wants to determine how many different outfits she can make by mixing and matching these new pieces. She has:

2 pairs of socks (grey, black)
4 pairs of pants (jeans, dark blue, plaid, striped)
2 shirts (green, white)

a. Create a tree diagram to show the total number of outfits, each needing socks, pants and shirts.

b. Calculate the total number of outcomes using the fundamental (multiplicative) counting principle.

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