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Will the number of permutations alwaysbe greater than the number of distinguisible permutations?

Anonymous

∙ 11y ago

Updated: 12/21/2022

No, sometimes they will be equal (when all items being permutated are all different, eg all permutations of {1, 2, 3} are distinguishable).

Wiki User

∙ 11y ago

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Q: Will the number of permutations alwaysbe greater than the number of distinguisible permutations?

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Does the number of permutations always exceed the number of combinations?

No. The number of permutations or combinations of 0 objects out of n is always 1. The number of permutations or combinations of 1 object out of n is always n. Otherwise, yes.

How many permutations are possible of the word rainbow?

Since there are no duplicate letters in the word RAINBOW, the number of permutations of those letters is simply the number of permutations of 7 things taken 7 at a time, i.e. 7 factorial, which is 5040.

How can you find the number of permutations of a set of objects?

If there are n different objects, the number of permutations is factorial n which is also written as n! and is equal to 1*2*3*...*(n-1)*n.

How many 2 number permutations are there from 1 through 16?

There are 16 choices for the first number and 15 choices for the second number (since repetition is not allowed). Thus, there are a total of 16 x 15 = 240 two-number permutations.

How do you do permutations with repeating symbols?

Suppose you have n objects and within those, there arem1 objects of kind 1m2 objects of kind 2and so on.Then the number of permutations of the n objects is n!/[m1!* m2!...]For example, permutations of the word "banana"n = 6there are 3 "a"s so m1 = 3there are 2 "n"s so m2 = 2therefore, the number of permutations = 6!/(3!*2!) = 720/(3*2) = 120.

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Related Questions

Does the number of permutations always exceed the number of combinations?

No. The number of permutations or combinations of 0 objects out of n is always 1. The number of permutations or combinations of 1 object out of n is always n. Otherwise, yes.

How do you find permutation?

If there are n objects and you have to choose r objects then the number of permutations is (n!)/((n-r)!). For circular permutations if you have n objects then the number of circular permutations is (n-1)!

The number of permutations of n objects taken all together is?

The number of permutations of n objects taken all together is n!.

What is the number of distinguishable permutations of the letters in the word oregon?

360. There are 6 letters, so there are 6! (=720) different permutations of 6 letters. However, since the two 'o's are indistinguishable, it is necessary to divide the total number of permutations by the number of permutations of the letter 'o's - 2! = 2 Thus 6! ÷ 2! = 360

What is the number of distinguishable permutations of the letters in the word GLASSES?

The solution is count the number of letters in the word and divide by the number of permutations of the repeated letters; 7!/3! = 840.

What is the number of permutations of the letters in Cincinnati?

not sure

How do you find the number of permutations in a word?

attendant

How many permutations are in the word math?

Since the word MATH does not have any duplicated letters, the number of permutations of those letters is simply the number of permutations of 4 things taken 4 at a time, or 4 factorial, or 24.

What is the correct number of permutations of 6 items from a list of 12 items?

Any 6 from 12 = 924 permutations

How many permutations of letters in word swimming?

The number of permutations of the letters SWIMMING is 8 factorial or 40,320. The number of distinct permutations, however, due to the duplication of the letters I and M is a factor of 4 less than that, or 10,080.

How many permutations are possible of the word rainbow?

Since there are no duplicate letters in the word RAINBOW, the number of permutations of those letters is simply the number of permutations of 7 things taken 7 at a time, i.e. 7 factorial, which is 5040.

What is the number of distinguishable permutations?

The formula for finding the number of distinguishable permutations is: N! -------------------- (n1!)(n2!)...(nk!) where N is the amount of objects, k of which are unique.

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