Permutations and Combinations
 

Permutations and Combinations problem 20


There are 20 students in the class. Each of them is dedicated to one sport activity:

  • 10 students are runners,

  • 7 are cyclists

  • in 3 are swimmers.


We bring three students together in a group.


  • How many different groups of three students can we put together?

  • How many different groups of three runners can we put together?

  • In how many selections is each sport represented?

  • How many groups of three can we have if there will be at least one rider in each group?


 

material editor: Hope Ezeocha