Question

The school playground is in the shape of a pentagon. There is a drinking fountain at each of the 5 corners of the playground. How many ways can someone walk from one drinking fountain to another drinking fountain

Answer 1

The person can walk to each fountain 25 times. you would just multiply the five corners by the five drinking fountains. hope this helps

Answer 2

Answer: 24

Step-by-step explanation:

We know that the permutation in a circle is known as circular permutation.

To calculate the circular permutations, we need the formula below:

$C=(n-1)!$

Given: The school playground is in the shape of a pentagon. There is a drinking fountain at each of the 5 corners of the playground.

Then , the number of ways can someone walk from one drinking fountain to another drinking fountain is given by :-

$(5-1)!=4!=4\times3\times2\times1=24$

Hence, the number of ways can someone walk from one drinking fountain to another drinking fountain is 24.