Properties of Pascal’s Triangle
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Each number is the sum of the two numbers above it.
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The outside numbers are all 1.
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The triangle is symmetric.
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The first diagonal shows the counting numbers.
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The sums of the rows give the powers of 2.
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Each row gives the digits of the powers of 11.
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Each entry is an appropriate “choose number.”
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And those are the “binomial coefficients.”
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The Fibonacci numbers are there along diagonals.