Subjects combinatorics

Match Outcomes 3F67Da

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1. **State the problem:** Maeve’s team plays 5 matches, and we want to find the total number of different possible outcomes for these matches. 2. **Understand the outcomes:** Each match can have 3 possible results: Win (W), Lose (L), or Draw (D). 3. **Formula used:** Since each match is independent and has 3 possible outcomes, the total number of outcomes for 5 matches is given by the multiplication rule: $$\text{Total outcomes} = 3^5$$ 4. **Calculate:** $$3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243$$ 5. **Conclusion:** There are 243 different possible outcomes for Maeve’s team over the 5 matches.