Copyright © University of Cambridge. All rights reserved.

## 'Weekly Problem 41 - 2013' printed from http://nrich.maths.org/

6 pupils have, between them, won three gold medals, two silver medals and a bronze medal in a pointing competition. Unfortunately, their teacher has lost all record of which medals should go to which pupils, so he allocates them by drawing names out of a hat. The first 3 names drawn receive the gold medals, the next two drawn have the silver medals, and the bronze medal goes to the remaining
pupil.

How many different ways can the medals be allocated by this method?

If you liked this problem,

here is an NRICH task which challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.*

View the previous week's solutionView the current weekly problem