In Major League Baseball there are five teams in the Western

In Major League Baseball there are five teams in the Western Division of the National League: Arizona, Los Angeles, San Francisco, San Diego, and Colorado. How many different orders of finish are there for these five teams? Place your answer in the blank. Do not use any decimal places or commas. For example, 45 would be a legitimate entry.

Solution

There are 5 teams.

Winner will be one and runner will be another.

Only if winner part is considered finishing ways is either one of the five hence 5.

If winner and runner combination is taken into account, then same team cannot be both.

Hence total no of ways = 5C2 = 10.