Okay now. New question. Find the number of (m) ways in which 6 people can ride a toboggan if ONE OUT OF THREE people must drive.
M=?
PLEASE DO NOT SOLVE! Just tell me how to do the problem. You MIGHT use factorial.
Find the number of (m) ways in which 6 people can ride a toboggan if ONE OUT OF THREE people must drive.
M=?
PLEASE DO NOT SOLVE! Just tell me how to do the problem. You MIGHT use factorial.
To find the number of ways in which 6 people can ride a toboggan, with one out of three people driving, you can follow these steps:
1. Start by identifying the number of people available for the driving position, which is three people in this case.
2. Next, consider that one person out of these three people must be selected for the driving position. Since there are three options, you have three choices for the driver.
3. Once the driver is selected, you need to determine the remaining passengers. In this case, there are five people remaining (6 - 1 driver = 5 passengers).
4. Now, you can calculate the number of ways to arrange the five passengers on the toboggan. To do this, you can use the concept of factorial.
5. Since order matters when arranging the passengers, you can use the factorial notation, denoted by an exclamation mark (!). For example, the factorial of 5 can be written as 5!.
6. The factorial of a number is the product of that number and all positive integers less than it. So, 5! = 5 × 4 × 3 × 2 × 1 = 120.
7. Multiply the number of ways to arrange the passengers (step 4) by the number of ways to select the driver (step 3) to obtain the total number of ways in which 6 people can ride the toboggan, with one out of three people driving.
8. Finally, assign the value of M to represent the total number of ways.
M = (number of ways to arrange the passengers) × (number of ways to select the driver)
Remember, these instructions only explain how to approach the problem, and you should solve it on your own following these steps.