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Tuples

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Tuples[list, n]

returns a list of all n-tuples of elements in list.

Tuples[{$list_1$, $list_2$, ...}]

returns a list of tuples with elements from the given lists.

• • Tuples[{a, b, c}, 2]

• • Tuples[{}, 2]

• • Tuples[{a, b, c}, 0]

• • Tuples[{{a, b}, {1, 2, 3}}]

The head of list need not be List:

• • Tuples[f[a, b, c], 2]

However, when specifying multiple expressions, List is always used:

• • Tuples[{f[a, b], g[c, d]}]