The largest five-digit number that can be formed with the digits 9, 8, 3, 7, and 5 using each digit only once is
Arrange the given digits in the decreasing order of their values.
9 > 8 > 7 > 5 > 3
Place the largest digit at the largest place and arrange the remaining digits in a decreasing order.
Thus, the largest five-digit number that can be formed is 98,753.