At a sandwich shop, a plain sandwich, which costs $3.00, consists of one type of bread, one type of meat, and one type of cheese. if the shop has 4 different breads, 8 different meats, and 6 different cheeses, how many possible plain sandwiches can be made?

Respuesta :

192 possible plain sandwiches can be made because you would do 4x6x8 which equals 192.

192 possible plain sandwiches can be made.

Given that the shop has 4 different breads, 8 different meats, and 6 different cheeses.

He can choose a bread in = 4C1 = 4 ways.

He can choose a meat in = 8C1 = 8 ways.

He can choose a cheese in = 6C1 = 6 ways.

Since the bread, meat and cheese are independent of each other, so the total number of ways = [tex]4\cdot8\cdot6=192[/tex]

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