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One of my old problem, Three men in three suits, is facing too many reports. Even though all the necessary info is given, members keep on reporting.

Please find a ...

Danny wrote the following product:

\[\large 1! \times 2! \times 3! \times \cdots \times 119! \times 120! \]

He took out one of the following factorials and found that the product ...

Let \(I_{n} = \displaystyle \int_{0}^{\pi} \dfrac{\cos n x \; \mathrm dx}{13-12\cos x}\).

Compute the value of ...

\[\large 1. \ \dfrac{(m+n)!}{(m+n)^{m+n}} \ \ \text{or} \ \ 2. \ \dfrac{m!}{m^m} \times \dfrac{n!}{n^n} \]

Let \(m\) and \(n\) be positive integers, then which ...

The diagram shows a large triangle with a green side of length 10, a blue side of length 17, and an inradius of 3.5.

At the point of tangency ...

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