Subjects combinatorics

Travel Ways 8B0835

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Travel Ways 8B0835


1. The problem asks which table lists all the different ways Harry can travel to Hogwarts and back, with each row representing one outcome. 2. To solve this, we consider the possible modes of travel to Hogwarts and from Hogwarts. The modes are Knight Bus, Flying Car, and Hogwarts Express. 3. The total number of different ways Harry can travel to Hogwarts and back is the number of ways to choose a mode to Hogwarts multiplied by the number of ways to choose a mode from Hogwarts. 4. Since there are 3 modes for going to Hogwarts and 3 modes for returning, the total number of different ways is: $$3 \times 3 = 9$$ 5. Now, we check each table to see if it lists all 9 unique combinations. 6. Table A lists: - Knight Bus to Knight Bus - Knight Bus to Flying Car - Knight Bus to Hogwarts Express - Flying Car to Knight Bus - Flying Car to Flying Car - Flying Car to Hogwarts Express - Hogwarts Express to Knight Bus - Hogwarts Express to Flying Car - Hogwarts Express to Hogwarts Express This is 9 unique combinations, covering all possibilities. 7. Table B lists: - Knight Bus to Hogwarts Express - Flying Car to Flying Car - Hogwarts Express to Knight Bus - Knight Bus to Knight Bus - Flying Car to Hogwarts Express - Hogwarts Express to Flying Car - Knight Bus to Flying Car - Flying Car to Knight Bus - Hogwarts Express to Hogwarts Express This is also 9 unique combinations, covering all possibilities. 8. Both Table A and Table B list all the different ways Harry can get to Hogwarts and back. Final answer: Both Table A and Table B list all the different ways.