Answer to Question #164012 in Discrete Mathematics for Muhammad Ali Qaisar

Question #164012

. Let A = {a, b, c}, B = {x, y} and C = {0, 1}. Find

a. C x B X A

b. 𝐴


1
Expert's answer
2021-02-24T07:59:56-0500

A1βˆ—..βˆ—An={(a1,...,an)∣ai∈Ai,i∈{1,..,n}}A_1*..*A_n=\lbrace(a_1,...,a_n)|a_i\isin{A_i},i\in\lbrace1,..,n\rbrace\rbrace

a.Cβˆ—Bβˆ—A={(0,x,a),(0,x,b),(0,x,c),(0,y,a),(0,y,b),(0,y,c),(1,x,a),(1,x,b),(1,x,c),(1,y,a),(1,y,b),(1,y,c)}a.C*B*A=\lbrace(0,x,a),(0,x,b),(0,x,c),(0,y,a),(0,y,b),(0,y,c),\newline (1,x,a),(1,x,b),(1,x,c),(1,y,a),(1,y,b),(1,y,c)\rbrace

b.A={a,b,c}b.A=\lbrace{a,b,c}\rbrace


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