Let A ⊆ {1, 2, . . . , 12} with |A| = 5. Prove that there are (a, b),(c, d) ∈ A × A with (a, b) /= (c, d) and a + b = c + d. I know that this requires the use of the pigeon rule but I am a bit confused about how that works or how to apply it here.
2026-03-29 15:31:17.1774798277
Applying the pigeonhole principle
33 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in PIGEONHOLE-PRINCIPLE
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