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IMAS 2025–2026 — Middle Primary — Round 2 Question 3

IMAS · IMAS 2025–2026 — Middle Primary — Round 2

Question 3

A party had between 41 and 48 attendees. In each dance, every attendee who participates in the dance is paired with exactly one person of the opposite sex. At the end of the party, it is known that each boy had danced with exactly four different girls, and each girl had danced with exactly five different boys. How many girls attended the party in total?
  1. 18
  2. 20
  3. 24
  4. 25
  5. Uncertain