Question

The landlord of an apartment building needs to purchase enough digits to label all of the apartments from 100 through 125 on the first floor and 200 through 225 on the second floor. The digits can only be purchased in a package that contains one of each digit 0 through 9. How many packages must the landlord purchase?

Answer 1

The numbers 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225 contains 26 numbers 0, 52 numbers 1, 44 numbers 2, 6 numbers 3, 6 numbers 4, 6 numbers 5, 4 numbers 6, 4 numbers 7, 4 numbers 8, 4 numbers 9. The largest number is 52, hence the landlord should buy 52 packages.
Answer: 52 packages.