A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
Correct answer: D. 1024
- A. 20
- B. 40
- C. 512
- D. 1024
Explanation
Each of the 10 questions has 2 possible answers, true or false, so the multiplication principle gives 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^10 = 1024 sequences. The likely distractor is 512, which is 2^9 and corresponds to only nine questions.
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Sequences describe ordered terms formed by a pattern, while series represent the sum of those terms. Questions cover arithmetic and geometric sequences, their nth terms, common difference or ratio, finite sums, and applications, with the sequence itself kept distinct from the corresponding series.
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