SOLUTION: Ilene allows her life guards to choose what they will wear daily. However, it is her rule that when the lifeguards report for duty that they should be dressed in a full suit. (as d

Algebra ->  Permutations -> SOLUTION: Ilene allows her life guards to choose what they will wear daily. However, it is her rule that when the lifeguards report for duty that they should be dressed in a full suit. (as d      Log On


   



Question 429521: Ilene allows her life guards to choose what they will wear daily. However, it is her rule that when the lifeguards report for duty that they should be dressed in a full suit. (as described below) How many different outfits can the lifeguards wear?
Full Suit = T-Shirt available in only one color, but four styles; muscle, tank top, short sleeve, and long sleeve.
Jacket- All the same style, but abvailable in red and white colors
Swimming trunks-Have 3 styles bikini, jogging, and knee length, and two colors red and white

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
To start with, we have a t-shirt, which is one color but 4 styles. Next we have a jacket, which are all the same style, but two different colors. Thus we have 4 t-shirts X 2 jackets, or 8 different ensembles to choose from so far. Last we have trunks which come in 3 styles and 2 colors to choose from, or 6 different trunks. Multiply this by the 8 different shirt/jacket combinations and we have 48 different shirt, jacket, and trunks combinations.
4X2X3X2=48