A celebrity chef is writing a new cookbook and is deciding how to organize the entree recipes. The entrees are meatloaf, curried vegetable stew, and steak in mushroom sauce. In how many different orders could the entree recipes appear?
orders
There are 3 entree recipes, so there are 3 options for which one to put first. Once the first one is chosen, there are 2 remaining options for the second one, and then only 1 option left for the last one. Therefore, there are 3 x 2 x 1 = 6 different orders in which the entree recipes could appear.
whats the answer to Judy is a high school student who wants to learn about various college majors. If she plans to look up 4 majors in a book of majors, in how many different orders could she do that?
orders
There are four majors that Judy wants to look up. She can choose any one of those four to look up first, then any one of the remaining three to look up second, then either of the remaining two to look up third, and finally the last remaining major.
This gives a total of:
4 x 3 x 2 x 1 = 24 different orders in which Judy could look up the four majors.
Therefore, there are 24 different orders in which Judy could choose to look up the four majors.
Daniel works at a bakery. He needs to restock the containers of lavender, orange, blue, yellow, red, white, and black sprinkles. In how many different orders can he restock the containers of sprinkles?
orders
There are seven containers of sprinkles that need to be restocked, and Daniel can choose any one of them to restock first. Once he has chosen one to restock first, he can choose any one of the remaining six to restock second, then any one of the remaining five to restock third, and so on.
Therefore, the total number of different orders in which Daniel can restock the containers of sprinkles is:
7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
Therefore, there are 5,040 different orders in which Daniel can restock the containers of sprinkles.
Dave, an employee at a video store, will be reorganizing the movies in 5 sections of the store, one section at a time. In how many different orders could he reorganize those sections?
orders
Dave will be reorganizing 5 sections of the store, so he can choose any one of those 5 to reorganize first, then any one of the remaining 4 to reorganize second, and so on.
Therefore, the total number of different orders in which Dave can reorganize the 5 sections of the store is:
5 x 4 x 3 x 2 x 1 = 120
Therefore, there are 120 different orders in which Dave can reorganize the sections of the store.
An online auction site includes listings for a DVD box set, a fruit basket, a book, a theater ticket, a guitar, and a stereo. If the listings all close at different times, in how many different orders could the listings close?
orders
There are 6 listings that could close at different times, and each one can close at any time before or after any of the others. Therefore, the total number of different orders in which the listings could close is:
6 x 5 x 4 x 3 x 2 x 1 = 720
Therefore, there are 720 different orders in which the listings could close.
The Mountaineering Club is preparing for a camping trip. They need to replace 4 of the items in their first aid kit. In how many different orders can the items be replaced?
orders