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4 options (Posted on 2017-07-10) Difficulty: 2 of 5
The members of a group travelling to Venice were offered by their travel agency 4 additional disjoint options of their choice.

Knowing that each option was selected by 80% of the members, what minimal percentage p choose ALL THE 4 OPTIONS?

No Solution Yet Submitted by Ady TZIDON    
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Solution I want it all (spoiler) | Comment 1 of 3
The minimum p is achieved when as many members as possible choose 3 out of 4 options.

If    20% choose all but option 1,
and a different 20% choose all but option 2,
and a different 20% choose all but option 3,
and a different 20% choose all but option 4,

then that leaves 20% of the members that chose all options.

The minimum p is therefore 20%.  Final answer.

  Posted by Steve Herman on 2017-07-10 10:09:07
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