# Question 23

Challenge question #23 (08/08/2016)

Junior Question

The figure shown has area $5$ square units.
Find a point Q on [BC] such that [PQ] divides the figure into two equal areas.

Senior Question

How many different sets of $5$ quartets can be formed from $5$ violinists, $5$ viola players, $5$ cellists, and $5$ pianists, given that each quartet must consist of one player of each instrument?