At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8, how many different tickets are possible

Answer:4032 different tickets are possible.Step-by-step explanation:Given : At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8.To find : How many different tickets are possible ?Solution : In the first race there are 9 ways to pick the winner for first and second place.Number of ways for first place - [tex]^9C_1=9[/tex]Number of ways for second place - [tex]^8C_1=8[/tex]In the second race there are 8 ways to pick the winner for first and second place.Number of ways for first place - [tex]^8C_1=8[/tex]Number of ways for second place - [tex]^7C_1=7[/tex]Total number of different tickets are possible is [tex]n=9\times 8\times 8\times 7[/tex][tex]n=4032[/tex]Therefore, 4032 different tickets are possible.