Question

A question paper had 6 questions. Each question could only be answered as True or False. Each candidate answered all the questions. Yet, no two candidates wrote
the answers in an identical sequence. How many candidates wrote the exam?
6!
26
cannot be determined
2-6​

Answer 1

Answer:

2⁶

Step-by-step explanation:

Each question can be answered in 2 ways. 

Answer 2

Given : A question paper had 6 questions

Each question could only be answered as True or False.  

To Find : How many candidates wrote the exam

Solution:

Number of Questions = 6

Answer options for each Question = 2  True or False.

Each answer can be written in 2 ways

Total number of ways = 2 * 2 * 2 * 2 * 2 * 2

= 2⁶

= 64

Hence maximum  2⁶ = 64 students can answer in such a way that no two candidates wrote the answers in an identical sequence.

Number of students  = 64

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