In 3 fingers, the number of ways four rings can be worn is ... ways.

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Accepted Answer

{"content":[{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Formulate Independent Choices):","type":"text"},{"text":" We want to distribute 4 rings among 3 fingers. Each ring can be placed on any of the 3 fingers independently of the others.","type":"text"}]},{"content":[{"marks":[{"type":"bold"}],"text":"Step 2 (Apply Choices):","type":"text"},{"type":"text","text":" "}],"type":"paragraph"},{"type":"bullet_list","content":[{"content":[{"content":[{"text":"Ring 1 can be worn in: 3 ways (Finger 1, 2, or 3)","type":"text"}],"type":"paragraph"}],"type":"list_item"},{"content":[{"content":[{"text":"Ring 2 can be worn in: 3 ways","type":"text"}],"type":"paragraph"}],"type":"list_item"},{"content":[{"content":[{"text":"Ring 3 can be worn in: 3 ways","type":"text"}],"type":"paragraph"}],"type":"list_item"},{"content":[{"content":[{"text":"Ring 4 can be worn in: 3 ways","type":"text"}],"type":"paragraph"}],"type":"list_item"}]},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Calculate Product):","type":"text"},{"text":" Using the product rule of counting, the total number of ways is:","type":"text"}]},{"attrs":{"latex":"\text{Total ways} = 3 \times 3 \times 3 \times 3 = 3^4 = 81"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 4 (Conclusion):","type":"text"},{"text":" The rings can be worn in exactly ","type":"text"},{"marks":[{"type":"code"}],"text":"81","type":"text"},{"type":"text","text":" different ways."}],"type":"paragraph"}],"type":"doc"}

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