Mathematics

Question

Use your counting principles to determine each of the following.
a) Washington state license plates for cars consist of 3 numbers followed by 3 letters. How many license plates are there? Do not consider vanity plates or other oddities.

b) Some lottery tickets consist of six numbers each ranging from 1 to 40. If repeated numbers are permitted, how many different tickets are there?

c) How many telephone numbers are there in the 509 area code? Telephone numbers may not start with the number 0 or 1. They also must not begin with 911 or 555. Do not consider other special circumstances

1 Answer

  • a) Washington state license plates for cars consist of 3 numbers followed by 3 letters. How many license plates are there? Do not consider vanity plates or other oddities. 

    That is 
    C = 10 * 10 * 10 * 26 * 26 * 26
    C = 17,576,000

    b) Some lottery tickets consist of six numbers each ranging from 1 to 40. If repeated numbers are permitted, how many different tickets are there?

    C = 40 ^ 6
    C = 4,096,000,000

    c) How many telephone numbers are there in the 509 area code? Telephone numbers may not start with the number 0 or 1. They also must not begin with 911 or 555. Do not consider other special circumstances



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