Product Rule for Counting/Examples/6 Football Matches
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Example of Use of Product Rule for Counting
Let it be understood that a football match between two teams $\text A$ and $\text B$ can end as:
- A win for team $\text A$
- A draw
- A loss for team $\text A$.
That being understood, then there are $729$ ways to predict the results of $6$ football matches.
Each match as the above described $3$ possible outcomes.
Hence by the Product Rule for Counting, there are $3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3^6 = 729$ possible ways of forecasting the result of $6$ such matches.
- 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text I$. Algebra: Permutations and Combinations: Exercises $\text I$: $10$