Question

12 poodles in a circus gave each other high fives. How many high fives were given in total?

Answer 1

Given:

12 poodles in a circus gave each other high fives.

To find the number of high fives was given in total:

Let N be the total number of persons.

Since all can't give high fives with themselves,

So, they can give high fives with N-1 persons.

So, the total number of high fives is N(N-1).

But, that counts every high five twice, so we have to divide by 2.

Therefore, the tola number of high fives is,

$\frac{N(N-1)}{2}$

Here, the total number of poodles is 12.

So, the total number of high fives is

$\begin{gathered} \frac{12(12-1)}{2}=\frac{12(11)}{2} \\ =66 \end{gathered}$

Thus, the total number of high fives is 66.