Shirts in a Drawer
Combinatorics · 27th PMO Qualifying Stage
A drawer contains a number of shirts, which may be red, blue, or yellow. If we choose shirts at random, the minimum number of shirts we must get so that we are guaranteed one of them is red, is 8. Meanwhile, the minimum to guarantee a blue shirt is 7, and the minimum to guarantee a yellow shirt is 12. How many shirts are there in the drawer?
A12
B15
C24
D27