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    Distribution of vehicle models

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    There are 15 different vehicle models available at a certain dealership. Oddly, each family living on Maple Street bought one of these vehicles. There are just enough families on Maple Street so you can be absolutely sure that 6 families all have the same model. How many families are there on Maple Street?

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    https://brainmass.com/math/discrete-optimization/distribution-of-vehicle-models-191444

    Solution Preview

    This is an application of the pigeonhole principle.

    The answer is 76 (families).

    To see that 76 is the correct answer, consider that 5*15 = 75 (where the ...

    Solution Summary

    The least number (call it "n") of families needed to satisfy the conditions given in the statement of this problem is determined by (a) first showing a case where having "n - 1" families would not meet those conditions and (b) then showing why having "n" families does meet them.

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