Question

There are 110 monkeys at the zoo. They each hug every other monkey. How many hugs were there?

Answer 1

The answer is: 5995 hugs

Explanation:

1. The equation H= T*M/2 is used:

2. Where H = Number of hugs

T = Total hugs given by an monkey.

M = Number of monkeys.

3. Now if they are 110 apes, one of them cannot hug himself, then there are 109 the number of hugs given by a monkey.

4. Adding the data to the equation would give that:

H = (109 * 110) / 2

H = 11990 / 2

H = 5995

5. At the zoo, 5995 hugs were given by the 110 monkeys.

Answer 2

5995 hugs

Explanation:

This is a combination problem: we want to make groups of two monkeys, where a pair of monkey 1 and 2 is the same pair of monkey 2 and 1 (it is the same hug). So, if the total number of monkeys at the zoo is 110, we have a combination of 110 choose 2:

C(110,2) = 110! / (2! * (110-2)!) = 110 * 109 / 2 = 5995

So the total number of hugs is 5995