Sports Day


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There are four children in a running race on Sports Day. The children’s names are Aaron, Katie, Sunita and Gary.   If they all finish the race how many possible orders are there of the children crossing the finishing line?

How many ways of finishing would there be if there were 5,6 and 7 people in the race.  Can you predict how many there would be for 8 children? How many ways are there of girls winning the race?  What do you notice about the number of girls winning the race?
If the number of girls increased to 3 how would this affect the number of possible ways that the girls could win the race? Can you find a formula that would let you work out the number of ways of finishing for any number of athletes?
 

Key Stage 1

A tiger, a snail and a pelican decide to have a race.  How many different ways could the animals cross the finish line?

If an elephant wanted to join in the race how would this change the number of ways that the race could finish?