Question

A retail store stocks windbreaker jackets in small, medium, large, and extra large and all are available in blue or red. What are the combined choices and how many combined choices are there?

Answer 1

Answer:

Choices={SB,SR,MB,MR,LS,LM,XLB,XLR}

8 combined choices

Step-by-step explanation:

Combinations

We'll define two sets of options for the windbreaker jackets, one for the sizes and another for the colors. Being S=small, M=medium, L=large, and XL=extra large, then

Z={S,M,L,XL}

is the set of possible sizes for the windbreaker jackets. Now, being B=blue and R=red, the set of colors is

C={B,R}

The combined choices are found by the cartesian product of ZxC:

Choices={SB,SR,MB,MR,LS,LM,XLB,XLR}

Where MB, for example, is Medium-Blue

That is the sample space for all the possible combinations, there are 8 in total