Question

a college lacrosse team will play 18 games next fall. each game can result in one of 3 outcomes; a win, a loss, or a tie. find the total possible number of outcomes for the season record.

Answer 1

Each game has 3 possible outcome so there are 3 different outcomes for game 1

The same can happen for game 2

and for game 3 and so on for each game

There are 18 games

3 *3*3*3*3 .......*3 18 times

3^18

387420489 different possible outcomes