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There are 7!/4! = 210

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11y ago

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What is distinguishable permutation?

Distinguishable permutations refer to the arrangements of a set of objects where some objects may be identical. In contrast to regular permutations, which count all arrangements as unique, distinguishable permutations account for identical items by dividing the total permutations by the factorial of the counts of each identical item. This calculation ensures that arrangements that are the same due to identical items are not overcounted. For example, in the word "BANANA," the distinguishable permutations would be calculated to avoid counting the identical "A"s and "N"s multiple times.


How many ways can you arrange the letters in the word Mississippi?

Total arrangements are determined by the equation f(n) = n!, where n is the number of letters in the word, and n! is the factorial function, which is n*(n-1) ... *1. This word has 11! total arrangements. Distinguishable arrangements are determined by the equation f(n) = n!/(c1!*c2! ... *cn!), where the denominator is the product of the factorials of the count of each unique letter in the word. There is one "m". There are four "i"s. There are four "s"s. There are two "p"s. So: 11!/(4!4!2!1!) = 39916800/1152 = 34650 distinguishable arrangements


How many distinguishable permutations can be made out of the word cat?

act


How many distinguishable permutations of letters are in the word queue?

three


How many distinguishable permutations are there in the word letters?

7 factorial


How many distinguishable permutations of letters are possible in the word class?

120?


How many distinguishable permutations are there for the word ALGEBRA?

There are 7 factorial, or 5,040 permutations of the letters of ALGEBRA. However, only 2,520 of them are distinguishable because of the duplicate A's.


In how many ways can all the letters in the word mathematics be arranged in distinguishable permutations?

The word mathematics has 11 letters; 2 are m, a, t. The number of distinguishable permutations is 11!/(2!2!2!) = 39916800/8 = 4989600.


How many different arrangements of the letters in the word number can be made?

6! = 6x5x4x3x2x1 = 720 arrangements


How many different arrangements of letters in the word sample can be made?

There are 6! = 720 different arrangements.


How many arrangements are there of letters of word 'parallel' such that the pattern 'paa' never occurs?

There are 3240 arrangements.


How many different arrangements can be made with the letters from the word GRAPHICS?

64 different arrangements are possible.