This question is from Mathmatical structure for computer sci

This question is from Mathmatical structure for computer science 7th edition book section 4.2 Question number 22

A Hawaiian favorite fast food is the \"loco moco\" , invented at a Hilo restaurant. It consists of a bed of rice under a meat patty with egg on top, the whole thing smothered in brown gravy. The rice cab be white or brown, the egg cab be fried , scrambled, or poached, and the meat can be hamburger, spam , portuguese sau-sage, bacon , turkey, hot dog, salmon, or mahi. How many different loco mocos can be ordered?

Solution

Okay So we have 2 types of Rice let it be R₁ and R₂.

We have 3 types of Egg Cab let it be E₁,E₂,E₃.

We have 8 types of Meat let it be M₁,M₂,M₃,M₄,M₅,M₆,M₇,M₈.

So First taking R₁ and E₁ with all types of meat once, so we have 8 Combos,

Similarly taking R₁ and E₂ with all types of meat once, so we have 8 Combos,

Taking R₁ and E₃ with all types of meat once, so we have 8 Combos,

So, with 1^st type of Rice we have a total of 24 Combos.

Now Same with R₂

First taking R₂ and E₁ with all types of meat once, so we have 8 Combos,

Similarly taking R₂ and E₂ with all types of meat once, so we have 8 Combos,

and then taking R₂ and E₃ with all types of meat once, so we have 8 Combos.

So, with 2^nd type of Rice we have a total of 24 Combos.

So, in all we can have 48 different Combinations of loco moko having any of the of Rice, Egg Cab and Meat.

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