In a question paper there are five questions to be attempted and answer to each question has two cho...........

Math and Mental Ability Permutation & Combination

In a. question paper there are five questions to be attempted and answer to each question has two choices - True (T) or False (F). It is given that no two candidates have given the answers to the five questions in an identical sequence. For this to happen the maximum number of candidates is:

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Complete-Test, Previous year (2016)

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Explanation:

We have to list the total number of cases which are distinct from each other.
Such cases will be 2 x 2 x 2 x 2 x 2 = 2⁵ (basic counting property)
In all these cases, no two candidates have marked answers identically.
Hence, Maximum number of candidates is 2⁵ = 32
What this means is that is there be a 33rd candidate, he will mark answers matching exactly 1 of the existing 32 candidates.