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Will the number of permutations alwaysbe greater than the number of distinguisible permutations?
No, sometimes they will be equal (when all items being permutated are all different, eg all permutations of {1, 2, 3} are distinguishable).
What are the 120 combinations produced by 5 factorial?
5 factorial is just a number .... namely, 120 . If you want to see all of the 120 'permutations' of five objects, simply do this: -- List all of the 5-digit numbers from 01,234 to 43,210. -- Cross off every number on the list that has any digit greater than 4 in it. -- Cross off every number on the list that has any repeated digit in it. You'll have all of the 120 permutations of the objects 0, 1, 2, 3, and 4, without repetition.
How many 6 digit numbers are there that do not have the number 5 in?
The first digit can be any one of 8. (all except '0' and '5')The second, third, fourth, fifth, and sixth digit can be any one of 9. (all except '5')The total number of possible permutations is (8 x 9 x 9 x 9 x 9 x 9) = 472,392
Can you list for me all possible permutations for a 3 digit combination numbered 0 through 9 including repeats and triples?
No, there are 1000 of them and I have better things to do with my life!
What is the smallest 5 digit number with all different digit?
01234
