Category: Uncategorized
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As mentioned earlier, I am taking a break from publishing new material for a few weeks. During these weeks I am republishing the series on e and the one on π. The post below was originally published on 14 June 2024. Recapitulation We have reached our final post in this series on the number e.…
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As mentioned earlier, I am taking a break from publishing new material for a few weeks. During these weeks I am republishing the series on e and the one on π. The post below was originally published on 7 June 2024. Recapitulation I’m back with another post after taking a break for a week. The…
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As mentioned earlier, I am taking a break from publishing new material for a few weeks. During these weeks I am republishing the series on e and the one on π. The post below was originally published on 24 May 2024. Recap In the previous post, I started a series of three posts focused on…
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While I am enjoying the series on counting principles, I need to take a break. Hence, I will be republishing the series on e and the one on π, both which I had first published in 2024. The post below was originally published on 17 May 2024. In the opening post of this blog, I…
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The Fundamental Theorem of Arithmetic We started a series on counting principles earlier this year. We first considered the most basic principles, namely the multiplication and addition principles. Then we looked at how permutations differ from combinations, considering some basic patterns of both including the elements of Pascal’s triangle. Next, we turned our attention to…
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Recapitulation In this post we continue with the series on Counting Principles. Whereas we devoted the previous post to permutations of special kinds, we will turn our attention today to the matter of combinations. In Arranging and Choosing we saw that the binomial coefficients are related to the elements of Pascal’s triangle. We saw that the…
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Refresher Two weeks back, we started a new series on Counting Principles. In Down for the Count we looked the the basic multiplication and addition principles of counting. In Arranging and Choosing we introduced the ideas of permutations and combinations. In this post, we will consider circular permutations and permutations with restrictions. Circular Permutations When we…
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Defining Terms In the previous post, Down for the Count, we started a series on counting principles. We looked at the multiplication and addition principles of counting and I promised that, in this post, we would look at permutations and combinations, as well as the relationship between combinations and the binomial coefficients. So, what do these…
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What Are Counting Principles? Counting is something that we learn from a very young age, either in the informal environment at home or in the formal environment of school. It forms the basis of all the mathematics we learn through our lives. All the basic mathematical operations (addition, subtraction, multiplication, division, and exponentiation) can be…
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This will be the final post for 2025. And it is a short one. I will be taking a break of a few weeks after that and will resume on 16 January 2026. For this final post, I would like to consider another problem I recently came across, depicted in the figure below. Each of…
Acutely Obtuse 