MathDB

A set

Source: Indian RMO 1998 Problem 6

October 26, 2005

symmetry

Problem Statement

Given the

7

-element set

A = \{ a ,b,c,d,e,f,g \}

, find a collection

T

of

3

-element subsets of

A

such that each pair of elements from

A

occurs exactly once on one of the subsets of

T

.

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