Ask questions and get helpful responses.

algebra

a state's license plate consist of 3 letters followed by 4 numerals, and 246 letter arrangements are not allowed. how many plates can be issued

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. (26^3-246)*10^4 = 173,300,000

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. 26 letters
    26 choices for first letter
    26 choices for second letter assuming that repeats are allowed
    and 26 choices for third letter
    so
    26^3 -246 for the letters
    for the numbers
    zero through 9 allowed, total of 10
    again is repeats are allowed
    10^4 or ten thousand
    so in the end
    (26^3 - 246)* 10,000

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Still need help? You can ask a new question.