Question

Every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie.

Knut always takes his shower last. How many different ways are there for him to order the different steps of his morning routine?

Answer 1

There are six different ways for Knut to order the steps of his morning routine.

Step-by-step explanation:

There are four steps in Knut's morning routine: taking a shower, checking email, doing pushups, and making a smoothie. Since he always takes a shower last, we can fix the position of the shower. The remaining three steps can be arranged in 3! (3 factorial) ways, which is equal to 3 x 2 x 1 = 6. So there are six different ways for him to order the steps of his morning routine.