# Discrete Math

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A factory makes automobile parts, 5C7, 1O6 or 3Z0, which are of 5,000 parts, what is the minimum number of parts with the same serial number?

• Discrete Math -

Assuming all 26 letters are used, and the first and last are digits, i.e. NAN, where N=digits 0-9, A=letter A-Z, there are, using the multiplication principle, 10*26*10=2600 distinct part numbers.

What is the minimum number of parts with the same serial number when there are 5000 parts and 2600 numbers available?

• Discrete Math -

5000

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