On Sundays at Ramone's Ice Cream Parlor, you can choose 3 free toppings for your sundae. The toppings are whipped cream, nuts, hot fudge, caramel, coconut flakes, and sprinkles. In how many possible ways can you order your toppings?

Hal lists different arrangements of the letters in his name, HAL, as follows: AHL, ALH, HAL, and LAH. In how many other possible ways can he add to the list?

Assuming it takes one rotation right, then left, then right, again, in how many possible ways can the secret code for this lock be set?

0! =

6! / 4! could represent the equation for the letters in the data set

There 88 keys on a piano and 6 strings on a guitar. If you want to play one note on a piano and one on a guitar, how many possible ways are there to do both?

If you turn 5! on your next birthday, you'll be

7! / 4! 3! =

A conference is attended by 28 people. If everyone exchanges business cards, how many cards will be given?

How many possible arrangements of the letters, abcd, are missing from the list?

In how many ways can 7 students line up to go to lunch?

Which of the following is a permutation?

In calculating how many possible outcomes there are in various situations, when would you divide by a factorial?

In calculating how many possible outcomes there are in various situations, when does order matter?