Reynolds Construction Company has agreed not to erect all ""look-alike"" homes in a new subdivision. Five exterior designs are offered to potential home buyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways can the exterior and interior plans be offered to potential home buyers?

Question

Mathematics

Miracle Zimmerman

23 January, 08:04

Reynolds Construction Company has agreed not to erect all ""look-alike"" homes in a new subdivision. Five exterior designs are offered to potential home buyers. The builder has standardized three interior plans that can be incorporated in any of the five exteriors. How many different ways can the exterior and interior plans be offered to potential home buyers?

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Sullivan Serrano · Answer 1

15

Step-by-step explanation:

If the company has 5 different exterior designs, and there are three interior plans that can be incorporated in any of the five exteriors, we can mix any of these 5 exteriors with any of the 3 interior plans.

Therefore we would have 5 x 3 ways of choosing.

Thus, there are 15 different ways that the exterior and interior plans can be offered to potential home buyers.