AMC 10 Step by Step
Log inSign up
Printable

2005 AMC 10B Problem 18

Include the solutionBack to the problem
2005 AMC 10B Problem 18AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Counting · difficulty 3 of 5 · about 2 min · position P16-20

All of David's telephone numbers have the form 555−abc−defg555-abc-defg , where aa , bb , cc , dd , ee , ff , and gg are distinct digits and in increasing order, and none is either 00 or 11 . How many different telephone numbers can David have?

  1. A)

    11

  2. B)

    22

  3. C)

    77

  4. D)

    88

  5. E)

    99

Working