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How many permutations of 5 letter can be made without any letters being repeated?
There are 7893600 permutations.
How many different arrangements can be made with the letters from the word GRAPHICS?
64 different arrangements are possible.
How many different arrangements can be made with the letters in the word Iowa?
There are 4 letters in IOWA, all non repeating. Arrangements are 4! or 24.
How many possible combinations can be made out of a code box that has 6 dials of 15 letters?
It depends on whether the order of the numbers is important or not. For example, if 123456 is seen as a different code to 213456 then there are many more possible solutions.If the order is unimportant, the number of possible combinations is equal tobinomial coefficient(15,6) = 5005If the order is important, then the number of possible permutations is equal to15! = ~1.3x1012
How many arrangements can be made with the letters sociological?
There are 12 factorial or 479,001,600 permutations of the letters in the word SOCIOLOGICAL. However, since the letter O occurs three times, the letter I occurs twice, the letter L occurs twice, and the letter C occurs twice, you have to divide that by 8 (O), 2 (I), 2 (L), and 2 (C) giving you 7,484,400 distinctpermutations.
