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Roger is renting a tuxedo for prom. Once he has chosen his jacket, he must choose from three types of pants, four colors of vests, and two different styles of shoes. How many different ways can he select his attire for the prom?

Respuesta :

thowecomewithaburden
The easiest way to solve it is to multiply all the choices together. 

3 pants x 4 vests x 2 shoes = 24 different ways

if your unsure of your answer, you can always draw a tree diagram.

The number of ways he can select his attire for the prom to look differently will be twenty-four (24).

What are permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Roger is renting a tuxedo for prom.

Once he has chosen his jacket, he must choose from three types of pants, four colors of vests, and two different styles of shoes.

Then the number of the ways he can select his attire for the prom will be

[tex]\rm Number \ of \ ways = ^3C_1 \times ^4C_1 \times ^2C_1 \\\\ Number \ of \ ways = 3 \times 4 \times 2\\\\Number \ of \ ways = 24[/tex]

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255