Tuples

Tuples(list, n)

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

Tuples({list1, list2, ...})

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

See

• Wikipedia - Tuple

Examples

>> Tuples({a, b, c}, 2)
{{a,a},{a,b},{a,c},{b,a},{b,b},{b,c},{c,a},{c,b},{c,c}}

>> Tuples[{{a, b}, {1, 2, 3}}]
{{a,1},{a,2},{a,3},{b,1},{b,2},{b,3}}

>> Thread(Tuples({0, 1}, 2) -> {a, b, c, d})
{{0,0}->a,{0,1}->b,{1,0}->c,{1,1}->d}

The head of list need not be List:

>> Tuples(f(a, b, c), 2)
{f(a,a),f(a,b),f(a,c),f(b,a),f(b,b),f(b,c),f(c,a),f(c,b),f(c,c)}

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

>> Tuples({f(a, b), g(x, y)})
{{a,x},{a,y},{b,x},{b,y}}

Implementation status

• ✅ - full supported

Github

• Implementation of Tuples