8. We know that P₁= P2 on B3 if P₁ = P2 on C, provided that C generates B and is a 7-system. Show this last property cannot be omitted. For example, consider 2 (a, b, c, d) with = 1 P₁({a})= P₁({d})= P₂({b})= P₂({c})= and 1 P₁{{b}) = P₁({c}) = P₂{{a}}) = P2({d}) = 3. Set C= {(a, b), (d, c), (a, c}, {b, d}}.

8. We know that P₁= P2 on B3 if P₁ = P2 on C, provided that C generates B and is a 7-system. Show this last property cannot be omitted. For example, consider 2 (a, b, c, d) with = 1 P₁({a})= P₁({d})= P₂({b})= P₂({c})= and 1 P₁{{b}) = P₁({c}) = P₂{{a}}) = P2({d}) = 3. Set C= {(a, b), (d, c), (a, c}, {b, d}}.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 29E

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Must two different points be collinear? Must three or more points be collinear? Can three or more points be collinear?

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