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Question

A homeowner puts a passcode-enabled lock on her front door. To choose a passcode, she must choose a number, a letter from a list of 5 letters, and then another number. Number Letter Number 0 A 0 1 E 1 2 I 2 3 O 3 4 U 4 5 5 6 6 7 7 8 8 9 9 How many possible passcodes can she make?

Answer

250

  • There are 10 possible numbers for the first and third positions.
  • For the second position, there are 5 possible letters.
  • The total number of possible passcodes is the product of the possibilities for each position.