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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

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Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestThe subsets are:

\[\begin{array} {ccc} \text{Subset} & \text{The 3 numbers} & \text{Sum of 3 numbers} \\ 1 & 0 \quad 7 \quad 20 & 27 \\ 2 & 1 \quad 8 \quad 19 & 28 \\ 3 & 2 \quad 9 \quad 18 & 29 \\ 4 & 3 \quad 10 \quad 17 & 30 \\ 5 & 4 \quad 11 \quad 16 & 31 \\ 6 & 5 \quad 12 \quad 15 & 32 \\ 7 & 6 \quad 13 \quad 14 & 33 \end{array} \]

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They can also be:

\(\quad Subset\quad \quad \\ \begin{matrix} 6 & 7 & 14 \\ 5 & 8 & 15 \\ 4 & 9 & 16 \\ 3 & 10 & 17 \\ 2 & 11 & 18 \\ 1 & 12 & 19 \\ 0 & 13 & 20 \end{matrix}\)

Multiple answers. The first and last elements of each subset above can be interchanged with the respective first and last element of any other subset(since the first and last element of each subset adds to \(20\)). Already giving us \(7!=5040\) different distributions of subsets.

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