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🇬🇧English to English[cardinality of the power set of 25]

cardinality of the power set of 25

/ˌkɑːrdɪˈnæləti əv ðə ˈpaʊər sɛt əv ˈtwɛnti-faɪv/advanced Level

English Meaning & Definitions

1.noun

The total number of elements contained within the power set of a set that has 25 elements, which evaluates to 2 raised to the 25th power, or 33,554,432.

Example Sentences:
  • In combinatorics, the cardinality of the power set of 25 represents the number of all possible subsets that can be formed from a twenty-five-item collection.
  • Calculating the cardinality of the power set of 25 yields precisely thirty-three million, five hundred fifty-four thousand, four hundred thirty-two.
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English Synonyms & Near Equivalents

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Comprehensive Thesaurus Breakdown

Compare formal, informal, literary synonyms and register nuances for “cardinality of the power set of 25”.

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Cultural Origin & Etymology

Derived from mathematical set theory terminology, combining 'cardinality' (the number of elements in a set, from Latin cardo meaning 'hinge'), 'power set' (the set of all subsets, introduced by Alfred North Whitehead and Bertrand Russell), and the natural number 25.

Memory Aid & Mnemonic

Remember that the power set of a set with n elements has 2^n elements, so for a set of 25 elements, the cardinality is 2 to the 25th power.

Frequently Asked Questions About “cardinality of the power set of 25

1. What is the meaning of “cardinality of the power set of 25” in English?

In English, cardinality of the power set of 25 (noun) is defined as: “The total number of elements contained within the power set of a set that has 25 elements, which evaluates to 2 raised to the 25th power, or 33,554,432.”.

2. How do you use “cardinality of the power set of 25” in a sentence?

In combinatorics, the cardinality of the power set of 25 represents the number of all possible subsets that can be formed from a twenty-five-item collection.

3. What are English synonyms of “cardinality of the power set of 25”?

4. What is the etymology and word origin of “cardinality of the power set of 25”?

Derived from mathematical set theory terminology, combining 'cardinality' (the number of elements in a set, from Latin cardo meaning 'hinge'), 'power set' (the set of all subsets, introduced by Alfred North Whitehead and Bertrand Russell), and the natural number 25.