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What are the possible values of resistances which one can obtain by using resistors of values 2‎Ω, 3‎Ω and 6‎Ω? Justify your answer.

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What are the possible values of resistances which one can obtain by using resistors of values 2‎Ω, 3‎Ω and 6‎Ω? Justify your answer.

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The following combinations can be obtained:
(i) The individual resistances: 2‎Ω,3‎Ω,6‎Ω
(ii) All in series: 11‎Ω
(iii) All in parallel: 11‎Ω
(iv) Three different possible mixed grouping of resistors:4‎Ω,9/2‎Ω36/5‎Ω

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