Subjects algebra

Rank Difference

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1. **Problem:** Rishika ranked 107th from the top and her friend ranked 54th from the bottom in a competition with 228 participants. Find how many participants ranked between them. 2. **Understanding the problem:** Total participants = 228. Rishika's rank from top = 107. Friend's rank from bottom = 54. 3. **Convert friend's rank from bottom to rank from top:** Friend's rank from top = Total participants - Friend's rank from bottom + 1 $$= 228 - 54 + 1 = 175$$ 4. **Find the number of participants between Rishika and her friend:** Number between = Friend's rank from top - Rishika's rank from top - 1 $$= 175 - 107 - 1 = 67$$ 5. **Answer:** 67 participants are ranked between Rishika and her friend. **Final answer: 67** (Option c)