Concept explainers
a.
To calculate: The number of line segments drawn.
a.
Answer to Problem 46PPE
Number of line segments are
Explanation of Solution
Given information:
Formula used:
A permutation is an arrangement of objects in a specific order. The expression
A combination is a selection of objects without regard to order. The expression
For any positive integer
Number of line segments
Calculation:
According to the question,
Number of points are 4 .
Therefore,
Hence, there are
b.
To calculate: The number of line segments drawn.
b.
Answer to Problem 46PPE
Number of line segments are
Explanation of Solution
Given information:
Formula used:
A combination is a selection of objects without regard to order. The expression
For any positive integer
Number of line segments
Calculation:
According to the question,
Number of points are 10 .
Therefore,
Hence, there are
c.
To calculate: The number of points.
c.
Answer to Problem 46PPE
Number of points are
Explanation of Solution
Given information:
Formula used:
A combination is a selection of objects without regard to order. The expression
For any positive integer
Number of line segments
Calculation:
According to the question,
Number of points are 10 .
d.
To calculate: The number of segments which method to be used either permutation or combination.
d.
Answer to Problem 46PPE
Combination is not be used.
Explanation of Solution
Given information:
Formula used:
A combination is a selection of objects without regard to order. The expression
Number of line segments
Calculation:
According to the question,
Number of line segments can be found by using combination . This is because we can select any point to draw a line segment.
Chapter 12 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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