Question

Two teams are to play a series of 5 matches between them. A match ends in a win or 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

Correct option (B) 243

The smallest number of people = Total number of possible forecasts 

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