Given: There are 7 multiple choice question each question has 3 choices Calculation: Total number of ways attempting all question = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 37 Number of ways in getting all correct answer = 1 × 1 × 1 × 1 × 1 × 1 × 1 = 1 Number of ways can a student get to fail all correct answer = 2187 - 1 = 2186 ∴ The 2186 ways in which a student can fail to get all correct answer so that he will lose the competition.