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Find the number of ways in which \(4\) identical balls can be distributed among \(6\) identical boxes,if not more than \(1\) ball goes into each box.

You are hosting a dinner party. You invite 13 couples. You ask everyone present how many people they shook hands with and everybody questioned shook hands with a different number ...

In Mathland, there is a \(1/20000\) chance that any given person might have the deadly 'Super Flu'. Thankfully, it is possible test for the presence of the disease. If ...

Find the number of ordered pairs of integers \((m,n)\) that satisfy

\[\frac{m}{12}=\frac{12}{n}.\]

How many ways are there to select 5 squares from a \( 10 \times 10 \) grid, such that no 2 squares are in the same row or column?

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