Question 1162298: A license plate has three letters and two digits. How many
plates can you have if the first digit cannot be zero and the
digits cannot repeat?
Think I've got it but am not sure Here's my Work
License plates = 3Letters, 2 Digits, 1st Digit can't be 0, Digits no Repeats
Each Letter(L)has 26 possible options so first set this up L(26)L(26)L(26)
Now Digits (D)
1st Digit (D) cannot be 0 which leaves (9) options
2nd Digit (D) no repeats allowed but could be 0 which brings back to (9) options
Problem now looks line L(26)L(26)L(26) D(9)D(9)
I multiply out 26x26x26x9x9= 1,423,656 possible combinations
Is this correct?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
A license plate has three letters and two digits. How many
plates can you have if the first digit cannot be zero and the
digits cannot repeat?
Think I've got it but am not sure Here's my Work
License plates = 3 Letters, 2 Digits, 1st Digit can't be 0, Digits no Repeats
Each Letter(L)has 26 possible options so first set this up L(26)L(26)L(26)
Now Digits (D)
1st Digit (D) cannot be 0 which leaves (9) options
2nd Digit (D) no repeats allowed but could be 0 which brings back to (9) options
Problem now looks line L(26)L(26)L(26) D(9)D(9)
I multiply out 26x26x26x9x9= 1,423,656 possible combinations
Is this correct?
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It's correct if the letters are allowed to repeat.
Answer by ikleyn(52803)  (Show Source):
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