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 answers are possible? 

(a) 20 (b) 40 (c) 512 (d) 1024

Answer 1

(d) Each question can be answered in 2 ways. 

Hence, total no. of sequences = 2 × 2 × ........ 10 times 

= 2¹⁰ = 1024