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Omni-MATH / Joe has written 5 questions of different difficulties for a test with problems…

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problem

Joe has written 5 questions of different difficulties for a test with problems numbered 1 though 5. He wants to make sure that problem ii is harder than problem jj whenever i−j≥3i-j \geq 3. In how many ways can he order the problems for his test?
Plain-text mathematical notation (without MathML)
Joe has written 5 questions of different difficulties for a test with problems numbered 1 though 5. He wants to make sure that problem i is harder than problem j whenever i−j≥3. In how many ways can he order the problems for his test?
Original LaTeX notation
Joe has written 5 questions of different difficulties for a test with problems numbered 1 though 5. He wants to make sure that problem $i$ is harder than problem $j$ whenever $i-j \geq 3$. In how many ways can he order the problems for his test?

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