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MATH / A license plate consists of two letters followed by two digits; for example,…

Problem

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problem

A license plate consists of two letters followed by two digits; for example, MP78MP78. Neither the digits nor the letters may be repeated, and neither the letter OO nor the digit 00 may be used. When reading from left to right, the letters must be in alphabetical order and the digits must be in increasing order. How many different license plate combinations are possible?
Plain-text mathematical notation (without MathML)
A license plate consists of two letters followed by two digits; for example, MP78. Neither the digits nor the letters may be repeated, and neither the letter O nor the digit 0 may be used. When reading from left to right, the letters must be in alphabetical order and the digits must be in increasing order. How many different license plate combinations are possible?
Original LaTeX notation
A license plate consists of two letters followed by two digits; for example, $MP78$. Neither the digits nor the letters may be repeated, and neither the letter $O$ nor the digit $0$ may be used. When reading from left to right, the letters must be in alphabetical order and the digits must be in increasing order. How many different license plate combinations are possible?

level

Level 4

type

Counting & Probability

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Source and history

task_id
d62fdac7-4baa-5f3f-a0d3-d461d01073fd
task_key
counting~5fand~5fprobability--test--d62fdac7-4baa-5f3f-a0d3-d461d01073fd
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import