Question

A question paper had ten questions. Each question could only be answered as True (T) or False (F). Each candidate answered all the questions. Yet, no two candidates wrote the answers in an identical sequence. How many different sequences of answer are possible ?
1. 20
2. 40
3. 512
4. 1024

Answer 1

Correct Answer - Option 4 : 1024

The correct answer is 1024.

Given:

A question paper had ten questions. Each question could only be answered as True (T) or False (F). Each candidate answered all the questions.

Calculation:

Each question has two way to the answer

Each candidate answered all the question, 

⇒ 2 × 2 × 2 × ..........× 10 times 

⇒ 2¹⁰

⇒ 1024

∴ 1024 Total sequences of answers are possible.