Telephone Exchange

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Three Cities having 3 telephone Exchange Each are to be Connected by a direct connection.Exchange in a same city requires 2 wires ,While Exchange in different Cities requires 3 wires. Find the no. of total wires required to complete Network


The answer is 99.

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1 solution

Suppose 3 cities A,B,C having Telephone corresponding Tan for A, Tbn For B, Tcn for C, In Same City=18 wires For Different city Ta1=18 Ta2=18, Ta3=18 for connection Between B & C: For Tc1=9, Tc2=9, Tc3=9, So total Wires for Connection=99

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