Question

A serial number on an implanted medical device consists of 3 letters followed by 4 digits....

A serial number on an implanted medical device consists of 3 letters followed by 4 digits. The first number cannot be zero. How many serial numbers are possible?

Math   Statistics-And-Probability   
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Answer #1

So there are 3 letters followed by 4 digits. We will assume that repetition is allowed. Then the number of serial numbers possible are:

numbers possible

Explanation:

  • There are a possible of 26 letters which can be used to fill in the first 3 places
  • The fourth-place can be filled by 9 numbers, excluding 0 i.e. 1,2,3,4,5,6,7,8,9
  • The fifth and sixth places can be filled by 10 numbers, including zero i.e. 0,1,2,3,4,5,6,7,8,9

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

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