Question

Two teams are to play a series of five matches between them. A match ends in a win, loss or draw for a team. A number of people forecast the result of each match and no two people make the same forecast for the series of matches. The smallest group of people in which one person forecasts correctly for all the matches will contain $n$ people, where $n$ is

• A. $81$
• B. $243$
• C. $486$
• D. None of these

Answer 1

The correct option is B $243$

The smallest number of people $=$ total number of possible forecasts
$=$ total number of possible results
$=3\times 3\times 3\times 3\times 3$.