Respuesta :

Answer:

The total number of ways in which three winners can come in is 990 ways.

Step-by-step explanation:

It is provides that the number of automobiles entering the race is: n = 11.

It is also provided that there were no ties.

There are supposed to be three winners for the race.

  • The number of ways the first winner can come in is: 11 ways.
  • The number of ways the second winner can come in is: 10 ways.
  • The number of ways the third winner can come in is: 9 ways.

Compute the total number of ways in which three winners can come in as follows:

Number of ways in which the first three finishers come in is

[tex]=11\times 10\times 9\\=990\ \text{ways}[/tex]

Thus, the total number of ways in which three winners can come in is 990 ways.