SOLUTION: 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 su
Algebra.Com
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?
==============================
It's correct if the letters are allowed to repeat.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
Correct (!)
Nice job (!)
My congrats (!) (!)
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As a bonus to you, I attach the list of lessons on Permutations and Combinations at this forum for your reading
- Introduction to Permutations
- PROOF of the formula on the number of Permutations
- Simple and simplest problems on permutations
- Special type permutations problems
- Problems on Permutations with restrictions
- Math circle level problem on Permutations
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
- Problems on Combinations with restrictions
- Math circle level problem on Combinations
- Arranging elements of sets containing indistinguishable elements
- Persons sitting around a circular table
- Combinatoric problems for entities other than permutations and combinations
- Fundamental counting principle problems
- Miscellaneous problems on permutations, combinations and other combinatoric entities
- Nice recreational problems on permutations
- OVERVIEW of lessons on Permutations and Combinations
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
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