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  • Maths Matters Week 09 Term 4

    4 December, 2017

    Maths Matters #24

    24 is, of course, the coolest day of the month on which to be born. 24 is 4 factorial (4! = 4 x 3 x 2 x 1). Among other things, it shows us that 4 things can be arranged in order 24 different ways. The sum of the first 24 squares is itself a square: 1 + 4 + 9 + 16 + 25 + … + 484 + 529 + 576 = 4900 which is 70 squared. Apart from 0 and 1, 24 is the only number for which this happens. A small rhombicuboctahedron has 26 faces, 24 vertices and 48 edges. You can check that Euler’s formula V + F – E = 2 works for this. You can make your own rhombicuboctahedron using this net, in case you don’t have enough Christmas decorations.

    Quiz question: which alphabet has 24 letters?

    Quiz Answer #23: 367 would need to be in a room to be certain that at least two of them share a birthday since it is possible (although extremely unlikely) to have 366 people, all with different birthdays.

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