UGC Approved Journal no 63975(19)
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ISSN: 2349-5162 | ESTD Year : 2014
Volume 12 | Issue 10 | October 2025

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Volume 12 Issue 7
July-2025
eISSN: 2349-5162

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Published Paper ID:
JETIR2507125


Registration ID:
565971

Page Number

b221-b225

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Title

Relation of Cardinality between Any Set and its Power Set

Abstract

This paper proposes an algorithm to derive a general formula for counting the total number of onto functions from a set A with cardinality m to a set B with cardinality m, and verification of Cantor theorem. To count the total number of onto functions using “Stirling number of the second kind”, with the help of Inclusion-exclusion principal. This paper will help for counting all possible onto mappings by means of partition method and will provide the direct count on onto functions using the formula derived in it.

Key Words

Set, function, onto –function, Binomial expansion, cardinality

Cite This Article

"Relation of Cardinality between Any Set and its Power Set", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 7, page no.b221-b225, July-2025, Available :http://www.jetir.org/papers/JETIR2507125.pdf

ISSN


2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"Relation of Cardinality between Any Set and its Power Set", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 7, page no. ppb221-b225, July-2025, Available at : http://www.jetir.org/papers/JETIR2507125.pdf

Publication Details

Published Paper ID: JETIR2507125
Registration ID: 565971
Published In: Volume 12 | Issue 7 | Year July-2025
DOI (Digital Object Identifier): https://doi.org/10.56975/jetir.v12i7.565971
Page No: b221-b225
Country: DIU, DAMAN & DIU (UT), India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR2507125
Published Paper PDF: https://www.jetir.org/papers/JETIR2507125

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