MATH 100 Midterm: MATH 100+180 2005 Winter Test 1

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8 Jan 2019
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Finite mathematics (math 10120) sec 01, spring 2014. Name: 16 teams enter a knockout tournament. In the rst round, the teams split into 8 pairs (so if the teams are a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, then one possible splitting is that a plays. B, c plays d, e plays f, g plays h, i plays j, k plays l, m plays n and o plays p). Now how many ways can the teams be split into 8 pairs? (again, the order that the pairs are announced doesn"t matter, just the order within each pair).

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