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 perticular 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

Answer 1

If we consider all forecasts then in the that 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
$=3\times 3\times 3\times 3\times 3=243$