Math

A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?

For the first letter, how many vowels can you possibly have?

Since the second letter can also be a vowel, but not a repetition of the first, the possibilities are one less than the number in the alphabet.

Each of the numbers can vary 0-9. How many possibilities is that?

To find the number of conbinations (either-or arrangements), you need to multiply the probabilities of the individual events.

I hope this helps, but I will let you do the calculations. Thanks for asking.


Correction. With either-or probabilities you add the probabilities of the individual events.

In your case, you want to know the probability of all of the events occurring, so you do multiply.

In this problem, the probability of any one particular arrangement is 1 over the number of possible arrangements. You still follow the process indicated above.

Sorry for my error. I hope this helps a little more. Thanks for asking.

  1. 0
  2. 0
  3. 8
asked by Carlos

Respond to this Question

First Name

Your Response

Similar Questions

  1. survey of math

    A license plate is to consist of 2 letters followed by 3 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted?

    asked by anjanette on November 29, 2012
  2. Math

    How do I work this problem? A license plate is to consist of 2 letters followed by 5 digits. Determine the number of different license plates possible if repetition of letters and numbers is not permitted. is this correct

    asked by Sabrina on July 10, 2014
  3. college math

    a license plate is to consist of three digits followed by two uppercase letters. determine the number of different license plates possible. the first digit cannot be zero and repition is not permitted.

    asked by ashley on November 23, 2011
  4. College probability and statistics

    The current license plates in New York State consist of three letters followed by four digits. ( i ) How many possible distinct license plates can there be? ( ii ) How many possible distinct license plates could there be if the

    asked by Melissa on October 12, 2013
  5. Math

    A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is

    asked by Carlos on March 26, 2007
  6. math

    License plates consist of letters and/ or digits. Calculate the number of licence plates that could be formed in each province or territory. Assume all numbers and letters are possible. a) Ontario, with 4 letters followed by 3

    asked by Kim on July 10, 2017
  7. math please check my work

    a license plate has 2 letters followed by 4 digits.how many license plates are possible if the digits and letters can be repeated? f-8 g-92 h-676000 i-6760000 i think it is i(the 4th one) am i correct thank you for helping me

    asked by anna on April 15, 2010
  8. math check my work

    a license plate has 2 letters followed by 4 digits.how many license plates are possible if the digits and letters can be repeated? f-8 g-92 h-676000 i-6760000 i think it is i am i correct thank you for helping me

    asked by anna on April 14, 2010
  9. Computers

    In Python - A state creates license plates, each containing two letters followed by three digits. The first letter must be a vowel (A,E,I,O,U), and duplicate letters and digits are allowed. The second letter can be any letter of

    asked by Sheryl on April 22, 2013
  10. math

    suppose a license plate for a car has 4 letters followed by 1 number and 3 more letters. The letters and numbers are chosen randomly. a. how many license plates are possible? b. compare the probability that a license plate spells

    asked by Mackenzie on February 26, 2008
  11. math

    Suppose a license plate requires three letters ,followed by three digits.how many license plates are there if the letters are all different and the digits are all different

    asked by nancy on September 16, 2012

More Similar Questions