Question 42381
The first question may be answered in 2 ways.
For each way of answering the first question, the second question may be answered in 2 ways.
Hence the first 2 questions may be answered in 2 x 2 = {{{2^2}}} ways.


For each way of answering the first 2 questions, the third question may be answered in 2 ways.
Hence the first 3 questions may be answered in 2 x {{{2^2}}} = {{{2^3}}} ways.

Following the same way, all the 10 questions may also be answered in {{{2^10}}} = 1024 ways.