Infinity

If an infinite number of monkeys typed on an infinite number of keyboards, would the eventually come up with the code for this chan?

>>13
monkeys : keyboards --> 1:1 --> ∞

I was asking if EACH monkey in the infinite set typed on EACH keyboard of the infinite set, not just its own.  An infinite set of monkeys is impossible anyway, so why not have each monkey be able to type on EACH keyboard at once?  Therefore, EACH keyboard would have an infinity of monkeys typing on it AT ONCE.

Therefore, ∞ x ∞ instead of just ∞.  Hence, my question.