Question

there are 14 people at a meeting. and they all shake hands with each other use a table of values to find the total number of handshakes

Answer 1

Answer: One way to find the total number of handshakes is to use a table of values to track the number of handshakes as the number of people in the meeting increases.

Number of People | Number of Handshakes

1 | 0

2 | 1

3 | 3

4 | 6

5 | 10

6 | 15

7 | 21

8 | 28

9 | 36

10 | 45

11 | 55

12 | 66

13 | 78

14 | 91

We can use the formula for the triangular number (n*(n-1))/2 where n is the number of people in the meeting.

So, total handshakes (14*13)/2 = 91

Explanation: