A paper had ten questions. Each 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 answers are possible?

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Q: 28 (IAS/2010)
A paper had ten questions. Each 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 answers are possible?
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question_subject: 

Maths

question_exam: 

IAS

stats: 

0,9,13,4,4,5,9

keywords: 

{'many different sequences': [0, 0, 1, 0], 'identical sequence': [0, 0, 1, 0], 'candidates': [3, 4, 1, 6], 'candidate': [1, 0, 0, 0], 'questions': [2, 0, 5, 3], 'paper': [1, 0, 4, 7], 'answers': [0, 0, 1, 0]}