Question

10 students will stand equidistant from the center of the classroom. They are all holding hands to begin with. They must go and shake hands with all other students whose hands they are not holding. No handshake will occur more than once. how many handshakes will take place?

Answer 1

35

Explanation:

I dont know how to explain im doing math nation rn

Answer 2

The total number of handshakes that occur are:

35

Explanation:

Since, the total number of people are 10.

Also, the handshakes occur between the people who are not adjacent to each other.

Since, the formula that can be used to solve this is:

`=10_C_2-10`

where
`10_C_2` represent the number of ways such that every 2 person shake hands and 10 is subtracted with the number of cases that are adjacent to each other i.e. the person standing adjacent do not shake hands.

Hence, on solving we get: 35

There are a total of 35 handshakes.