The Mathematics of Shuffled Cards

It is said that each time you shuffle a 52-card deck,  each arrangement you make may have never existed in all history, or may never exist again. Why? Because of the enormous number of arrangements that can be made using 52 distinct objects (in this case, cards).

To understand this, we can look at the number of arrangements that can be made with smaller number of objects. Lets start with 3 objects A, B, and C. The possible arrangements are ABC, ACB, BAC, BCA, CAB and CBA. Notice that for the first position, there are 3 possible choices (see figure below). Then, after you made the first choice, there are only 2 possible choices left. And after the second choice, you only have 1 possible choice. This means that the number of arrangements of 3 objects is 3 \times 2 \times 1 = 6Continue reading

How to Scientifically Cut a Cake

If you are a sugar-conscious family, then you would probably need to learn Sir Francis Galton’s way to cut a cake. According to Sir Galton’s letter to the editor to the 1906 journal Nature, the ordinary method of cutting out a wedge is faulty because it does not minimize the  exposure of the cake’s surface. Exposure of the interior of the cake for a period of time can make it dry.

Watch the video below and learn how to scientifically cut a cake so you can preserve its taste even if you eat it after a day.

Sir Francis Galton was an English polymath, psychologist,anthropologist, eugenicist, tropical explorer, geographer, inventor, meteorologist, proto-geneticist, psychometrician, and statistician. He was knighted in 1909.

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