Question

Kansas will change its license plate numbering system to the following LL-XX-LL-X where X's represent numbers and L's are represented by letters. how many license plates are available if the first 2 numbers can't be 5 or 0, the last number can only be 1-5 and the first and second letters cant be A,B, or C how many plates are available

Answer 1

Kansas will change its license plate numbering system to the following

LL-XX-LL-X , where:

• X's represent numbers

,

• L's are represented by letters.

Restrictions:

• The first 2 numbers can't be 5 or 0

,

• The last number can only be 1-5

,

• The first and second letters cant be A,B, or C

Now, we proceed to each calculation, this way:

• First letter: 23 available letters (26 - A, B and C)

,

• Second letter : 23 available letters (26 - A, B and C)

,

• First number: 8 available numbers (10 - 0 and 5)

,

• Second number: 8 available numbers (10 - 0 and 5)

,

• Third letter: 26 available

,

• Fourth letter : 26 available

,

• Last number: 5 available (Only can be 1-5)

Plates available = 23 * 23 * 26 * 26 * 8 * 8 * 5

Plates available = 114'433,280