IXL | Permutations | 7th grade math

Liz gets to tie-dye a shirt at summer camp. She wants to use purple, orange, yellow, and pink dye on her shirt. In how many different orders can she apply the different colors of dye?

orders

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question

A celebrity chef is writing a new cookbook and is deciding how to organize the entree recipes. The entrees are barbecue chicken, vegetable lasagna, chicken cacciatore, sliced turkey in gravy, and tortellini alfredo. In how many different orders could the entree recipes appear?

orders

key idea

To find out how many different orders are possible, use a factorial. A factorial is a whole number followed by an exclamation point. To evaluate a factorial, multiply all the whole numbers between 1 and the given number.

solution

There are 5 entree recipes: barbecue chicken, vegetable lasagna, chicken cacciatore, sliced turkey in gravy, and tortellini alfredo.

There are 5! different orders in which the entree recipes could appear.

5! = 5 × 4 × 3 × 2 × 1 = 120

There are 120 different orders in which the entree recipes could appear.

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