Question

there are 6 married couples at a party. at the start of the party every person shakes hands once with every other pserson except his or her spouse. How many handshakes ar there

Answer 1

Answer:

60 hand shakes.

Step-by-step explanation:

We have been given that there are 6 married couples at a party.

This means there are 12 people in total.

We know that number of handshakes for n people is given by formula $\frac{n(n-1)}{2}$.

We are also told that at the start of the party every person shakes hands once with every other person except his or her spouse.

So formula for this problem would be $\frac{n(n-1-1)}{2}$ or $\frac{n(n-2)}{2}$.

Since total numbers of people is party is 12, so we will get:

$\frac{12(12-2)}{2}$

$6*10$

$60$

Therefore, there will be 60 hand shakes at the party.