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

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

The density of the cube is 40