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Omni-MATH / A five-digit positive integer is created using each of the odd digits 1,3,5,7,9 once so that the thousands digit is larger than the hundreds digit, the thousands digit is larger th…

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problem

A five-digit positive integer is created using each of the odd digits 1,3,5,7,91, 3, 5, 7, 9 once so that the thousands digit is larger than the hundreds digit, the thousands digit is larger than the ten thousands digit, the tens digit is larger than the hundreds digit, and the tens digit is larger than the units digit. How many such five-digit positive integers are there?
Plain-text mathematical notation (without MathML)
A five-digit positive integer is created using each of the odd digits 1,3,5,7,9 once so that the thousands digit is larger than the hundreds digit, the thousands digit is larger than the ten thousands digit, the tens digit is larger than the hundreds digit, and the tens digit is larger than the units digit. How many such five-digit positive integers are there?
Original LaTeX notation
A five-digit positive integer is created using each of the odd digits $1, 3, 5, 7, 9$ once so that the thousands digit is larger than the hundreds digit, the thousands digit is larger than the ten thousands digit, the tens digit is larger than the hundreds digit, and the tens digit is larger than the units digit. How many such five-digit positive integers are there?

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