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Five runners need to be arranged in 5 lanes for a race so that there is a runner in each lane. How many unique ways are there to arrange the runners in the 5 lanes?

Sagot :

Answer:

25

Step-by-step explanation:

When answer questions about unique combinations, there are usually two ways people go about finding the solutions.

First, sometimes it can take a while, but it often helps people visualize the question if they jot down or sketch each different combination. Then, they can just count them up at the end to find there answer.

The easeier way is to use a quick math trick. If you have 5 runners, with 5 potential lanes each runner could start in, you can just multiply these two variables together to get your answer of the number of possible options.

So,

5 runners * 5 lanes = 25 possible combinations for each lane and runner