Question

A rich businesswoman wants to bring some her company’s employees to Whistler for a retreat. She can rent taxis (that will sit 4 employees), minibuses (that have place for 11 employees) and slightly larger buses (that can sit 14 employees). However, since she did not get rich by wasting money, and because the cost will be proportional to the number of seats that are available (whether or not these seats are utilized), she wants every single seat to be occupied. Prove that there is no way to rent a combination of taxis and buses that will have space for exactly 21 employees.

Answer 1

Please rate with many thumps up.