Shapes and Hook Numbers - Numberphile

Shapes, Tableaux and Hook Numbers. Featuring Professor Curtis Greene from Haverford College. Extra footage: https://youtu.be/JiwM5g_RC3c More links & stuff in full description below ↓↓↓...

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We're talking about a problem involving putting numbers into boxes and other shapes.And the shape is an arrangement of boxes that looks something like this.And I've got a certain number of boxes in the first row,so I have four boxes in the first row, and two in the second row, and one in the third row.And the rule is that these numbers must be decreasing.And the second rule is that the boxes are left-justified.And that's it! That's the rule. A simple example would be this, here's a square.Three boxes in the first row, three in the second row, and three in the third row.The number of boxes in two rows can be the same.Another example of a shape would be something like this. This is something we call a staircase.Four, and three, an...
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