AMC 10 Step by Step
Log inSign up
Printable

2017 AMC 10A Problem 25

Include the solutionBack to the problem
2017 AMC 10A Problem 25AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Counting · difficulty 5 of 5 · about 12 min · position P21-25

How many integers between 100100 and 999999 , inclusive, have the property that some permutation of its digits is a multiple of 1111 between 100100 and 999?999? For example, both 121121 and 211211 have this property.

  1. A)

    226226

  2. B)

    243243

  3. C)

    270270

  4. D)

    469469

  5. E)

    486486

Working