There are 264 = 456,976 permutations of 4 letters of the Roman alphabet.
There are 103 = 1,000 permutations of 3 digits of the Roman alphabet.
These letters and digits can be ordered in 7C3 = 7*6*5/(3*2*1) = 35 ways.
So all in all, there are 456,976*1,000*35 = 15,994,160,000 possibilities.
However:
each of the four numbers have 10 possibilities, and each of the three letters have 26 possibilities. so the total possible ways u can arrange them are 10x10x10x10x26x26x26 this totals up to 175,760,000 different license plate numbers
456,976,000
There are 26 choices for each of the two letters, and 10 choices for each of the four numbers. Therefore, the total number of license plates that can be made is (26 * 26) * (10 * 10 * 10 * 10) = 676,000.
1757600
10,108,800 assuming that leading 0s are not allowed in the 3-digit numbers; that the licence authorities do not block some letter combinations because they are rude, and letters that might be confused with numbers (O and 0, I and 1, Z and 2, S and 5, B and 8) are all permitted.
There are 676,000 ways to make the license plates.
each of the four numbers have 10 possibilities, and each of the three letters have 26 possibilities. so the total possible ways u can arrange them are 10x10x10x10x26x26x26 this totals up to 175,760,000 different license plate numbers
456,976,000
There are 26 choices for each of the two letters, and 10 choices for each of the four numbers. Therefore, the total number of license plates that can be made is (26 * 26) * (10 * 10 * 10 * 10) = 676,000.
1757600
How many license plates can be made using either two uppercase English letters followed by four digits or two digits followed by four uppercase English letters?
Unless the license plate was illegally made, two cars wouldn't have the same license plate. This is because they are used to identify the driver/owner of the car if the police catch them doing something illegal (ex. speeding).
In prisons all over the united states.
35,152,000 (assuming that 000 is a valid number, and that no letter combinations are disallowed for offensive connotations.) Also, no letters are disallowed because of possible confusion between letters and numbers eg 0 and O.
720 is the number of ways to combine three known letters and three known numbers.For example, the letters A, B & C and the numbers 1, 2 & 3. The total combinations of these 6 characters is:(6 options)*(5 options)*(4)*(3)*(2)*(1) = 720.However, if the three numbers and three letters are unknown and any number or letter is possible, and repeated numbers or letters are acceptable (such as with a license plate), then the total possibilities for each "space" are multiplied together:(26 possibilities)*(26 possibilities)*(26 possibilities)*(10 possibilities)*(10 " ")*(10 " ") = 17,576,000 combinations.That is, there are 26 letters in the alphabet and 10 numbers (0 thru 9).This is assuming that three of the six spaces spaces are reserved for letters and three spaces are reservedfor numbers.If the combination can be any three letters and any three numbers where different combinations are made by changing whether each space contains a number or a letter, then the answer becomes a product and sum of different choose functions and is much more complicated...
10,108,800 assuming that leading 0s are not allowed in the 3-digit numbers; that the licence authorities do not block some letter combinations because they are rude, and letters that might be confused with numbers (O and 0, I and 1, Z and 2, S and 5, B and 8) are all permitted.
First of all, There are 10 Different numbers, 0-9. And 26 Letters, A-Z. We want 3 of there numbers. so it is, 10P3= 720 (10!/7!) We also want 26P4 =358800 So the Answer is 358800*720=258336000. Which is 258Million 336 Thousand. Roughly. As Some letters may not be used or some numbers. I don't really know the working of license plates. Update: Assuming that you are allowing repetitions of both letters and numbers, it follows that you do not have to use (p(n,r)) to find the permutation. The correct calculation is: 10^3(26^4) or p= 10*10*10(26*26*26*26)= 456,976,000