Question

20 people show up to a post-PSTAT 120A party. If everyone shakes hands with everyone else, how many handshakes take place

Answer 1

Answer: There are 190 handshakes takes place.

Explanation:

Since we have given that

Number of people in the party = 20

Here, n = 20

So, the number of handshakes would be

`(n(n-1))/(2)\\\\=(20(20-1))/(2)\\\\=(20* 19)/(2)\\\\=10* 19\\\\=190`

Hence, there are 190 handshakes takes place.