Answer
$1,900$
Work Step by Step
The program lists the possible sequences of i,j,k.
i can be an integer from 1 to 10. That is 10 possibilities.
j can be an integer from 2 to 20 That is 19 possibilities.
k can be an integer from 1 to 10 That is 10 possibilities.
Therefore the total number of iterations is $10*19*10=1,900$