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2026 AMC 10A Problem 13

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2026 AMC 10A Problem 13AMC 10 Step by Step

Name: Date: November 10, 2026

Basic Counting · difficulty 2 of 5 · about 3 min · position P11-15

Two bicycle clubs, with disjoint memberships, go on a tour together. On the morning of the tour, members greet each other with a handshake. Everyone shakes hands with everyone else exactly once. There were $119$ handshakes between members of the same club and $112$ handshakes between members of different clubs. How many more people came from the larger club than from the smaller club?

A) $0$
B) $4$
C) $6$
D) $7$
E) $8$

2026 AMC 10A Problem 13

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