# In how many ways can the season end with 8 wins, 4 losses, and 2 tie is a college football team plays 14 games?

Number of Combinations

The number of ways to tie 2 out of 14 games can be found by

The number of ways to lose 4 out of 12 remaining games can be found by

The number of ways to win 8 out of 8 remaining games can be found by

Hence, the total number of ways to have 8-4-2 record is

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To calculate the number of ways a college football team can end the season with 8 wins, 4 losses, and 2 ties in 14 games, you can use the binomial coefficient formula. The formula is:

C(n, k) = n! / (k! * (n - k)!)

Where:

- n is the total number of games (14 in this case).
- k is the number of wins (8 in this case).

Using the formula, the calculation would be:

C(14, 8) = 14! / (8! * (14 - 8)!) = (14 * 13 * 12 * 11 * 10 * 9) / (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) = 3003

So, there are 3003 ways the season can end with 8 wins, 4 losses, and 2 ties.

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