Question

Four people in a room. Each shakes hands with each of the others once. How many handshakes are there?

Answer 1

four handshakes are there

Answer 2

Answer:

6 handshakes.

Step-by-step explanation:

Total number of people in the room = 4

Hence, n = 4

Now, we know the formula

Number of handshakes = n(n-1)/2

Plugging the value of n, we get

Number of handshakes is given by

$\frac{n(n-1)}{2}\\\\=\frac{4(4-1)}{2}\\\\=\frac{4\times3}{2}\\\\=6$

Thus, there are 6 handshakes.