Question

You are fixing ice cream cones for your friends. You have the set of toppings and flavors below. Find A X B.

A = {sprinkles, cherries, fudge}

B = {vanilla, chocolate, strawberry}

Answer 1

A x B ={sprinkles, vanilla, sprinkles, chocolate, sprinkles, strawberries, cherries, vanilla, cherries, chocolate, cherries, strawberry, fudge, vanilla, fudge, chocolate, fudge, strawberry}

Answer 2

Thanks

Answer 3

A mouthful to type, but it's all there

Answer 4

The cartesian product AXB will take exactly one element each from A and B to make an ordered pair. An excellent example is if
A:{A,2,3,4,5,6,7,8,9,10,J,Q,K}, B={Spade,Heart,Diamond,Club}
Then AXB will give the 52 cards of a pack.
So here since |A|=3, and |B|=3 (cardinality,i.e. number of elements of each set), there will be 3.3=9 ordered pairs, such as (sprinkles, vanilla), {(sprinkles, chocolate), (sprinkles, strawberry), ...(fudge,strawberry) }similar to what Hero has enumerated, except that they don't get packed in the same set, but a set of ordered pairs.

Answer 5

A x B ={(sprinkles, vanilla), (sprinkles, chocolate), (sprinkles, strawberries), (cherries, vanilla), (cherries, chocolate), (cherries, strawberry), (fudge, vanilla), (fudge, chocolate), (fudge, strawberry)}

Answer 6

There. Just forgot parentheses