Week 15 CMT Problem - 7th Grade


The Relay Race



Tom, Bob and Vic are racing against each other in a 100 meter dash. In how many different orders could they finish the race That is, one finishing order could be

Bob, then Tom and then Vic;

another could be Tom and Vic tied then Bob.

Show all the different orders in which the race could end. Include the possibilities of ties.



Suppose that Fred decided to join the race. List all the possible race outcomes for the boys. For this problem you can assume there will be no ties.