Question

if each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.

Answer 1

false

Explanation:

Call the persons 1 through 7.

1,2

1,3

1,4

1,5

1,6

1,7

2,3

2,4

2,5

2,6

2,7

3,4

3,5

3,6

3,7

4,5

4,6

4,7

5,6

5,7

6,7

There are 21 handshakes.

1 handshaking 2 is the same as 2 handshaking 1.

6 × 7/2 = 21

Answer: false