Twelve students in circle kicking ball. How many total kicks for each student to kick once to every player

Question

Need help to set up equation

Answer 1

Valerie, each of the 12 has 11 other people to kick to. 12(11) = 132 kicks.

Answer 2

Consider that the players are the vertices of a 12-gon.

The number of diagonals is 12(12-3)/2, or 54.

The ball passes through each diagonal twice.

Therefore they are 108 kicks.

 

Must include the two kicks each person does to his neighbor.

108 + 24 = 132