How the Pigeonhole Principle Can be Applied to Verify the Number of Classrooms Needed

Authors

  • Syamsyida Rozi Universitas Jambi
  • Sherli Yurinanda Universitas Jambi
  • Sarmada Sarmada Universitas Jambi
  • Vionica Afrianda Universitas Jambi
  • Corry Sormin

DOI:

https://doi.org/10.30829/zero.v8i1.19292

Keywords:

combinatorics, discrete mathematics, dirichlet principle, pigeonhole principle, ceiling function

Abstract

Classrooms are one of the main needs for educational institutions to carry out learning activities and are an important element in creating an optimal learning environment for educators and students. Determining the number of classrooms should be done through the thorough calculation. The aim of this research is to perform how pigeonhole principle can be applied to verify the numbers of classroom needed. In working with pigeonhole principle, it should be clear what will be “pigeon”, and what will be “pigeonhole”. According to the results of this research, as we took the case study for Faculty of Science and Technology Universitas Jambi which currently build a new building, if FST wants to allocate the rooms for each department, it will need 52 classrooms based on scheme 1 and 58 classrooms based on scheme 2. While if FST does not consider the allocation for each department, then it will need 45 rooms based on scheme 1 and 46 classrooms based on sheme 2.

Author Biographies

Syamsyida Rozi, Universitas Jambi

Program Studi MatenatikaFakultas Sains dan TeknologiUniversitas Jambi

Sherli Yurinanda, Universitas Jambi

Program Studi MatenatikaFakultas Sains dan TeknologiUniversitas Jambi

Sarmada Sarmada, Universitas Jambi

Program Studi MatenatikaFakultas Sains dan TeknologiUniversitas Jambi

Vionica Afrianda, Universitas Jambi

Program Studi MatenatikaFakultas Sains dan TeknologiUniversitas Jambi

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Published

2024-06-30

Issue

Vol. 8 No. 1 (2024): Zero: Jurnal Sains Matematika dan Terapan

Section

Articles

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