Explore BrainMass

Explore BrainMass

    Distribution of vehicle models

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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?

    © BrainMass Inc. brainmass.com December 15, 2020, 3:12 pm ad1c9bdddf

    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.