My book says that if a license plate must have 3 letters, and 4 numbers, when repetition is allowed, and no restriction is placed on the order of letters and numbers, then the amount of possible license plates is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\begin{pmatrix}7 \\3\end{pmatrix}10^{4}26^{3}[/tex]

[tex]\begin{pmatrix}7 \\3\end{pmatrix}[/tex] ways of permuting the letters and numbers, seems reasonable when all the letters and numbers are the same, such as:

AAA1111

But shouldn't there be7!possible unique permutations when they're all different, such as in say:

ABC1234

Thanks!

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Number of different license plates

Loading...

Similar Threads for Number different license | Date |
---|---|

Average number of different colors of marbles in a sample? | Jun 1, 2014 |

Total number of different combination | May 21, 2014 |

N of possible answers on a filtered test with different numbers of passing options | Jul 11, 2012 |

Formula for dice probability where numbers have different values | Nov 6, 2011 |

What is the difference between weak and strong large number laws? | Nov 5, 2011 |

**Physics Forums - The Fusion of Science and Community**