a.
Toidentify:The number of ways to choose three flags from a collection of seven different flags.
The total number of ways are 35.
Given information:
There are seven flags and need to select only three of them.
Explanation:
Consider the given information.
The total number of flags are 7 out of which 3 should be taken at a time.
Put
Thus, the total number of ways are 35.
b.
Toidentify:The number ofdifferent orders to arrange three flags.
The possible arrangements are 210.
Given information:
The number of flags is 3.
Explanation:
Consider the given information.
The total number of flags are 7. 3 flags should be chosen and then arrange them.
Put
Thus, the possible arrangements are 210.
c.
Toexplain:How it can be used
Multiply the number of combinations with 3! It will give the permutation.
Given information:
They want to arrange three flags from a group of seven.
Explanation:
Consider the given information.
From part a, it is known that
Now there are 3 flags, if someone wants to arrange them then their position is important.
3 things can be arranged in 3! Ways.
Thus,
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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