A committee of eight people, labelled a, b,...,h, has been split into the following eight subcommittees: {a,b,c,h},{c,d,e},{a,b,d,g},{c,d,e,f},{c,d,f},{b,d,g,h},{d,e,f},{c,e,f} Is it...

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A committee of eight people, labelled a, b,...,h, has been splitinto the following eight

subcommittees:
{a,b,c,h},{c,d,e},{a,b,d,g},{c,d,e,f},{c,d,f},{b,d,g,h},{d,e,f},{c,e,f}

Is it possible for each subcommittee to choose from amongst itsmembers a chairperson, so that nobody chairs more than onesubcommittee? Justify your answer.

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