How many different ways can you play 8 games, 4 home 4 away?

Question

How many combinations of 4 road and ho e games can a team play?

Answer 1

 

 So basically we are permuting HHHHAAAA

 

 The monomial coefficient formula is

     

   8!

------- =

 4! 4!

 

8*7*6*5

----------- =

 4*3*2*1

 

7*6*5

------- <---- 8 cancels 4*2

 3

 

7*2*5 <------ 6 cancels 3

 

= 70