2. You are designing a new product that can come in two types: Big or Small. The

Question

2. You are designing a new product that can come in two types: Big or Small. The Big types have three colors (red, white and blue) and two flavors (vanilla and chocolate) to choose from, whereas the small types have two colors (red and blue) and three flavors (vanilla, mocha and chocolate) to choose from. Let C - fred, white, blue], D- fred, blue} F = {vanilla, chocolate), G = {vanilla, mocha, chocolate} Write down a formula for a set that represents all the different choices a customer can have? Hint: Similar to Section 6.1 Exercises 71 and 72 in the book, but a little more advanced.] Solution

Explanation / Answer

Suppose A = {Big}, and B = {Small}.

So, the set that represents all the different choices a customer can have is,

S = {A X C X F} U {B XD X G}

where X means the cartesian product of sets and U is the union of sets.

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