To calculate: The additional number of outfits if another green shirt is bought.
Answer to Problem 20HP
The number of additional outfit combinations after buying a new shirt is 4.
Explanation of Solution
Given: A new green shirt is bought which can be worn with either one of the tan, black, brown, or denim pants available.
Concepts Used: Consider m number of distinct items that can be matched up with another set containing n distinct items. Then the first item from the first group can be matched with any one of the n number of items in the second group which gives a total of n combinations. Similarly, for the second item in the first group there are n different combinations and so on. Hence the total number of combinations for m items with n items will be
= n+ n +n +n + … (m times) =
The new green shirt can be worn with either one of the pants. Since there are 4 different choice of pants viz. tan, black, brown and denim, so 4 more outfit combinations are possible.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
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