Chapter 13 - Counting and Probability - 13.2 Permutations and Combinations - 13.2 Asses Your Understanding - Page 855: 43

$1024$

We know that the number of arrangements of $n$ objects in $r$ slots (where in a slot only $1$ of the $n$ elements can be put) is: $n^r$. Thus because there are $10$ questions with $2$ possible answers for each, the number of arrangements possible: $2^{10}=1024.$