# Problem of the Month

• Everyone is welcome to participate, but only undergraduate OU students are eligible for the prizes.
• If there is more than one correct submission, the evaluation committee will select a winner.
• A complete solution to the problem must include a proof.
• Solutions to the Problem of the Month can be submitted in the Math Department's office (PHSC 423).
• Make sure that your submission includes your name and OU email.
• The deadline for submission is the last day of the month.

Congratulations to Ryan Chimienti, winner of the September 2019 Problem of the Month competition!

## On the job market

There are 20 businesses in Norman, each of which is looking to hire 15 new employees. A group of 300 OU students is interviewed by each one of the 20 businesses. Each business rates each student as qualified or unqualified to work for them, in such a way that each business finds exactly $$q$$ students to be qualified, and each student is considered to be qualified by at least one business.

Find the smallest value of $$q$$ for which it is always possible to assign 15 students to each business, in such a way that each business gets assigned only students they consider to be qualified, and each of the 300 students gets assigned to a business.