Friday

November 28, 2014

November 28, 2014

Posted by **Diane** on Sunday, September 20, 2009 at 10:57am.

and I think each letter can only be used once.

- Math -
**Reiny**, Sunday, September 20, 2009 at 11:29amwhen you say, "at least 1 letter "Z" in one of the letter spots", you are implying that there could be 1,2, or 3 Z's in the letter spots.

But then you say that you think each letter can be used only once.

Usually on license plates, letters and numbers can be repeated, so I will work it out assuming that both letters and numbers can be repeated.

case 1: one Z

number of ways = 3x25x25x1000 = 1875000

case 2: two Z's

number of ways = 3x25x1000 = 75000

case 3: three Z's

number of ways = 1x1000 = 1000

total number of ways to have Z's = 1951000

number of ways without restrictions = 26x26x26x1000 = 17576000

**so prob of at least 1 Z = 1951000/17576000 = ..111**

other way:

no Z's at all = 25x25x25x1000 = 15625000

so number of ways for at least one Z

= 17576000 - 15625000 = 1951000

etc.

**Answer this Question**

**Related Questions**

math - It was noticed that some cars have license plates with 3 letters followed...

math - suppose a license plate for a car has 4 letters followed by 1 number and ...

Math - What is the probability of getting a license plate that has a repeated ...

Computers - In Python - A state creates license plates, each containing two ...

Algebra - What is the probability of getting a license plate that has a repeated...

math - 1. There are 13 horses running in a race. In how many different ways can ...

Statistics - Selecting a letter of the alphabet: If 3 letters of the alphabet ...

math - What is the probability of getting a license plate that has a repeated ...

stat - What is the probability of getting a license plate that has a repeated ...

ALGEBRA - What is the probability of getting a license plate that has a repeated...