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Question

Two teams are playing a series of five matches between them. Any random match ends with three results i.e, win, loss or draw for a team. Let a group of n people forecast the result of a particular team for each match and no two people make the same forecast for the series of matches. The maximum number of people required in a group such that a person forcasts all the results correctly for all the matches is

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Solution

If we consider all forecasts, then in that case only one will be correct because no two are making same forecasts.

The number of people = total number of possible forecasts

Total number of possible results
=3×3×3×3×3=243

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