3. Page 21, 1.3.9 (b) Now prove the general inclusion exclusion formula given by the expression (1.3.13) P(C1uC2u Ck)=p1-p2+p3-+(-1)k+1pk, p1=P(C1) +P(C2)+...+P(CK), p2=1si

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 12E
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3. Page 21, 1.3.9 (b) Now prove the general inclusion exclusion formula given
by the expression (1.3.13) P(C1uC2u Ck)=p1-p2+p3-+(-1)k+1pk,
p1=P(C1)+P(C2)+...+P(CK),
p2=1<i<jskP(CinCj),
p3=[1<i<j<l<kP(Cincjncl) and pk=P(C1nc2n...nck).
Transcribed Image Text:3. Page 21, 1.3.9 (b) Now prove the general inclusion exclusion formula given by the expression (1.3.13) P(C1uC2u Ck)=p1-p2+p3-+(-1)k+1pk, p1=P(C1)+P(C2)+...+P(CK), p2=1<i<jskP(CinCj), p3=[1<i<j<l<kP(Cincjncl) and pk=P(C1nc2n...nck).
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