Concept explainers
To prove: The no. of handshakes is
Answer to Problem 24SR
Theproof is given below.
Explanation of Solution
Concept used:
The poof is to be done by mathematical induction.
Step 1:
To show the given statement is true, for
So for one guest there will be
So the given statement is true for
So the given statement is true for
Step 2:
Assume the statement is true for
Step 3:
To prove the result is true for
Suppose
By using the Step 2, the number of handshakes for
As by Step 1 it is concluded that for any number of guests the no. of handshakes will be one less than that number. So, for the
Therefore the no. handshakes is
Chapter 11 Solutions
Glencoe Algebra 2 Student Edition C2014
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