To find: The number of ways in which 3 items could be chosen for the first dinner, second dinner and fourth dinner.
The number of ways are220, 84, 20 and 1 respectively.
Given information:
Number of food items=12
Concept used:
The formula to compute the combination rule is:
Calculation:
The number of ways in which 3 items could be chosen for the first dinner could be calculated as:
Number of items left for second dinner are:
The number of ways in which 3 items could be chosen for the second dinner could be calculated as:
Number of items left for the third dinner are:
The number of ways in which 3 items could be chosen for the third dinner could be calculated as:
Number of items left for the fourth dinner are:
The number of ways in which 3 items could be chosen for the fourth dinner could be calculated as:
The required number of ways are 220, 84, 20 and 1 respectively.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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