Six pupils have, between them, won three gold medals, two silver medals and a bronze medal in a painting competition. Unfortunately, their teacher, Mr Turner, has lost all record of which medals should go to which pupils, so he allocates them by drawing names out a hat. The first three names drawn receive the gold medals, the next two drawn have the silver medals and the bronze medal goes to the remaining pupil. In how many different ways can the medals be allocated by this method?
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Junior Mathematical Olympiad 2000 (2000)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Junior Mathematical Olympiad 2000 (2000)