There are 676,000 ways to make the license plates.
How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters are not allowed
There are eight (8) different letters in that word, so that's the number ofletter choices you have in each 5-letter group without repetition.The number of different 5-letter "words" is (8 x 7 x 6 x 5 x 4) = 6,720 .(They don't necessarily mean anything. They're just distinct sequencesof 5-letters each, like Morse-code random practice groups.)
If all letters and numbers are allowed, the possibilities are 26x26x10x10x10x10. So: 6760000 different plates.
With 6 different letters, no repetition (like you have 6 different Scrabble tiles), and if order is important, then the proper statistical term is permutation, rather than combination, but many people refer to this type of application as a combination.The permutation (no repetition) of n items taken rat a time is n!/(n-r)! with in this case n=6 and r=6. The exclamation mark is notation for factorial.6! = 6 * 5 * 4 * 3 * 2 * 1. (6-6)! = 0! which is defined as 0! = 1So we have 6 * 5 * 4 * 3 * 2 * 1 = 720 different possibilities.
One way to work this out is to imagine that you have a bag containing all 26 letters of the alphabet.Take one letter from the bag. It could be any one of the 26, so there are 26 possibilities for your first letter.Take another letter from the bag. This time there are only 25 letters in the bag (you've already taken one out, remember!). So you have 25 possibilities for the second letter.So far there are 26 x 25 (= 650) possibilities for your first two letters. (AB, BA, AC, CA, AD, DA, etc)Now take your third letter from the bag. But remember, there are now only 24 letters remaining.So, for 'from 26 chose 3', altogether you have 26 x 25 x 24 possibilities, which comes to 15,600 different combinations of three different letters.
How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters are not allowed
many i believe 8 or so??
It is 720.
If repetition is allowed the formula would be 4x4x4 = 64 codes. If you must chose a different letter each time (no repetition) the formula would be 4x3x2 = 24 codes.
The number of permutations of the letter SUM is 3 factorial, or 6. Since none of those letters are repeated, the issue of repetition is not a factor. Perhaps the questioner meant to use a different word. If so, please restate the question.
coffeeofferproffer
Assuming no repetition, 12 x 11 x 10.... x 4 x 3 x 2. If repetition is allowed, 1212
Alliteration is the repetition of the same consonant sounds and assonance is the repetition of the same vowel sounds.
That repetition would involve an onomatopoeia.
It is (5/26)4 = 625/456,976 = 0.00137 approx.
uncopyrightable
First letter in code can be any of 5, second can be any of remaining 4 and so on. 5 x 4 x 3 x 2 = 120