Digital Commons @ Shawnee State University - Celebration of Scholarship: Examining Fermat's Combinatorial Identity and Bonferroni's Inequality.
 

Examining Fermat's Combinatorial Identity and Bonferroni's Inequality.

Presenter Information

McKenna DunhamFollow

University

Shawnee State University

Major

AYA Mathematics 7-12, Mathematics

Student Type

Undergraduate Student

Presentation Types

Oral Presentation (Live)

Keywords:

Fermat Combinatorics, Bonferonni Inequality.

Abstract

In this presentation, we will give an expository proof of Fermat's Combinatorial Identity and Bonferroni's Inequality. Fermat's Combinatorial Identity will be explained using different counting techniques. Bonferroni's Inequality deals with probabilities of events and will be proven using induction.

Human and Animal Subjects

no

IRB or IACUC Approval

no

Faculty Mentor Name

John Whitaker

Faculty Mentor Title

Professor of Mathematics

Faculty Mentor Department

Mathematical Sciences

Location

LIB 204

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Apr 3rd, 1:15 PM

Examining Fermat's Combinatorial Identity and Bonferroni's Inequality.

LIB 204

In this presentation, we will give an expository proof of Fermat's Combinatorial Identity and Bonferroni's Inequality. Fermat's Combinatorial Identity will be explained using different counting techniques. Bonferroni's Inequality deals with probabilities of events and will be proven using induction.