Question

A college's soccer team will play 15 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

Given,

15 games next fall

3 outcomes: a win, a loss, or a tie

Find,

total possible number of outcomes

$3^{15}$

Thus, there are 14,348,907 possible outcomes