Question

Describe a situation in which the number of outcomes is given by $P\left(6,3\right)$

Short answer

The number of ways3 people are rewardedout of 6 people running a race is $P\left(6,3\right)$.

Step-by-step solution

Step 1. Given Information.

Given to describe a situation in which the number of outcomes is given by $P\left(6,3\right)$.

Step 2. Explanation.

When n objects are available and r are to be picked then the number of permutations is given by $P\left(n,r\right)$

So, for $P\left(6,3\right)$ 3 objects are to be chosen out of 6 objects.

So a situation that is represented by the outcome $P\left(6,3\right)$ is, when 6 people are running a race and only 3 places are rewarded i.e. first, second and third, the number of ways the people can be rewarded is $P\left(6,3\right)$

Step 3. Conclusion.

The number of ways 3 people are rewarded out of 6 people running a race is $P\left(6,3\right)$.