To determine the number of ways the six people can ride the toboggan with one of three driving, we need to consider the positions of the driver and the remaining five passengers.
Firstly, we can choose one person to be the driver in three ways. Once the driver is chosen, we are left with five remaining passengers.
Next, we need to arrange these five passengers in the remaining spots on the toboggan. The order in which they sit does matter, so we will use permutation formula.
There are 5 choices for the first remaining passenger, 4 choices for the second passenger, 3 choices for the third passenger, 2 choices for the fourth passenger, and only 1 choice for the final passenger.
Therefore, the total number of ways in which six people can ride the toboggan with one of three driving is:
3 * 5 * 4 * 3 * 2 * 1 = 3 * 5! = 3 * 120 = 360 ways.
Find the number of ways in which six people can ride toboggan if one of three must drive
1 answer