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If I have 3 designs with multiple otions how many possible choices does my customer have?

I am a landscape designer. I have 3 seperate patio designs. Each design has 2 options for the paver patio and 3 options for the built in grill/ island. How many possible patio combinations are there with these choices?

Note: please show me the way to figure this out for future reference. Guess I should have paid more attention in math class instead of drawing.

Thanks for the help everyone.

2 Answers

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  • 1 decade ago
    Favorite Answer

    If you have x choices for option 1, y choices for option 2, z choices for option 3, then the total number of combinations is just x * y * z. This can be expanded to a general case.

    3 * 2 * 3 = 18 combinations

    This method will not work if the choices are not uniform, eg. one of the patio designs does not support one of the grills.

  • N S
    Lv 5
    1 decade ago

    3 separate designs

    2 patio options

    3 grill options

    so there are a total of 15 different design options for all.

    Add all the different options in one design and then multiple that by how many designs you have total. That will give you all the different options. Now you need to get all the combinations of designs for each.

    You have 6 choices of pavers. And they are to be combined with 9 choices of grills. The easy way to look at that is each paver, has 9 grill choices, so that is 9 x 6 which is 54 different possible designs

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