Answered

How many different batting orders are possible if 9 people are chosen from a group of 12 on a baseball team?

Verified Answer :

olemakpadu

So we need to choose 9 people from the 12 persons.

Here the order of arrangement of the 9 persons is relevant.

So the answer is 12 Permutation 9 = ¹²P₉

¹²P₉ = (12!) / (12 - 9)! 
          
       =  (12!) / 3! 
 
       =  (12 11 10 9 8 7 6 5 4 3!) / 3! 
 
       =  12 11 10 9 8 7 6 5 * 4

       =  79 833 600

      =  79 833 600 different orders