Answer:
15
Step-by-step explanation:
If two people shake hands there is one handshake.
If three people shake hands there are 3 handshakes.
If four people shake hands there are 3 more handshakes so 3 + 3 = 6 in total.
If five people shake hands there are another 4 handshakes so 6 + 4 = 10.
For 6 people there are another 5 handshakes so 10 + 5 = 15.
A second pattern that may be described is that each person has to shake hands with all the others. If there are 6 people each person has 5 handshakes to make. But each time a handshake occurs there are 2 people involved. This means that you only need ½ (6 x 5 ) = 15.
If six people greet each other at a meeting by shaking hands with one another, the number of handshakes that will take place is 15 handshakes.
It should be noted that based on the information given, each person has to shake hands with all the other people.
Therefore, since there are 6 handshakes, it means that 5 handshakes will be made. Each time a handshake takes place, there'll be 2 people involved. Therefore, the total number of handshakes will be:
= 1/2 × (5 × 6)
= 1/2 × 30
= 15 handshakes.
There'll be 15 handshakes.
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