Number of complex number $z$ satisfying $z^3 = \bar{z}$ is ____.
Step-by-Step Solution
Key Concept: Multiplication principle applies independently to each subject's prize distribution.
In Physics, 1st and 2nd prize can be given in $10 \times 9 = 90$ ways. Similarly for 2 other subjects, total ways in 90 each. Total number of ways = $90 \times 90 \times 90 = 729000$.
Correct Answer: 5