permutation of letters

USAGE SUMMARY

"permutation of letters" is correct and usable in written English. You can use it when discussing different arrangements or combinations of letters in a word or phrase. For example, "The word 'stop' has several permutations of letters, including 'tops' and 'spot'." Alternative expressions include "arrangement of letters," "rearrangement of letters," and "combination of letters."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Thus, for example, the extension of "is a letter between \ \textrm{A}\) and \ \textrm{E}\)" is invariant under the permutation of letters described above.

SEP

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

In "The Nine Billion Names of God" monks of a Tibetan-like retreat believe that the very purpose of humanity is to write down the nine billion permutations of letters that spell God's secret name, a project assisted by representatives of an I.B.M.-style company who indulgently supply the equipment so the project can come to its long-awaited close.

The New York Times - Books

The set containing all the letters, however, is invariant under all permutations of letters.

SEP

Is it coincidental that God's creation of the world begins with the words, "God said 'Let there be light, and there was light?" To continue this metaphor, we can understand creation as a result of different permutations of letters.

Huffington Post

The stimuli were of 2 types: meaningful sentences or series of unpronounceable nonwords sentences (random permutation of the letters) (e.g., Fedorenko et al. 2010, 2011).

Cerebral Cortex

They synthesised a DNA substitute with only one base or letter, instead of the many permutations of four letters.

The Guardian - Books

To return to our example above, the set \(\{\textrm{A}, \textrm{B}, \textrm{C}, \textrm{D}, \textrm{E}\}\) is invariant under all permutations of the letters \ \textrm{A}\) through \ \textrm{E}\): no matter how we switch these letters around, we end up with the same set.

SEP

He created all-over fields of typography on wood panels as well, but the female silhouettes, tattooed with words like "Her," "She," "Hey," "Yes" and other permutations of the letters from the wrapper, remain his most exciting works.

The New York Times

As a member of the Canadian Institute of Actuaries, that bulge is more likely to be a calculator than a gun.The nasty truth is that there are only 17,576 different permutations of three letters.

The Economist

He'd like a better term than the current one, but said he's tried "all four factorial permutations" of the letters, and the alternatives are either unpronounceable or already claimed by a baseball team.

The New York Times - Science

A striking example is commutativity of multiplication, which as we noted in the introduction need not hold for the multiplication of an arbitrary group, even so simple a group as the six permutations of three letters.

SEP

Expert writing Tips

Best practice

When discussing the concept of creating different sequences from a set of letters, use "permutation of letters" to accurately convey the idea of rearrangement.

Common error

Avoid using "combination of letters" when you specifically mean the order matters. A "permutation" emphasizes the arrangement, while a "combination" simply refers to the selection of letters without regard to order. Using "permutation" clarifies that the sequence is important.

Linguistic Context

The phrase "permutation of letters" functions as a noun phrase. It typically describes the act or result of rearranging a set of letters. Ludwig AI confirms its grammatical correctness and usability in various contexts.

Expression frequency: Common

Frequent in

Science

35%

News & Media

35%

Academia

10%

Less common in

Wiki

10%

Encyclopedias

5%

Formal & Business

5%

Ludwig's WRAP-UP

The phrase "permutation of letters" accurately describes the act of rearranging letters, with a focus on the resulting order. It's grammatically sound and used across various fields, particularly in science, mathematics, and news. Ludwig AI indicates the phrase is correct and usable in written English. Alternatives like "letter arrangement" or "letter rearrangement" can be used for variety, but "permutation of letters" is the most precise when the specific order is important.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Letter arrangement

This alternative is more concise and focuses directly on the act of arranging letters.

Letter rearrangement

This alternative emphasizes the act of rearranging letters, suggesting a change in their order.

Reordering letters

This alternative explicitly states the act of changing the order of letters.

Letter combination

This alternative focuses on different groupings of letters, rather than their specific order.

Rearranging letters

This alternative uses a verb phrase to describe the action of changing the order of letters.

Letter transposition

This alternative uses a more formal term to describe the swapping of letter positions.

Altering letter sequence

This alternative highlights the modification of the order in which letters appear.

Switching letters

This alternative focuses on interchanging the positions of letters.

Letter shuffling

This alternative evokes a more random and less structured rearrangement of letters.

Letter scrambling

This alternative emphasizes a disarranged and jumbled order of letters.

FAQs

How is "permutation of letters" used in mathematics?

In mathematics, "permutation of letters" refers to the different possible arrangements of a set of letters. This concept is used to calculate the number of ways letters can be ordered, which is essential in fields like combinatorics and cryptography.

What is the difference between "permutation of letters" and "combination of letters"?

A "permutation of letters" considers the order of the letters, while a "combination of letters" does not. In permutations, changing the order creates a new arrangement, while in combinations, the order is irrelevant.

How can I determine the number of "permutations of letters" in a word?

To determine the number of "permutations of letters" in a word, you can use the formula n!, where n is the number of letters. If there are repeated letters, you must divide by the factorial of the count of each repeated letter to avoid overcounting.

What are some alternatives to "permutation of letters"?

Some alternatives to "permutation of letters" include "letter arrangement", "letter rearrangement", and "reordering letters". The best choice depends on the specific context and the nuance you want to convey.