Q1. - Algebra 2

Question

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

Step-by-Step Solution

Answer

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

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 $P\left(6,3\right)$.