The conclusion does not follow from the premise. The fact that "pi is an infinite, non-repeating decimal" (while easily provable true) does not imply that every number combination exists somewhere in pi.
For example, if you removed all the 7's from pi, producing a new number, (i.e. 3.1415926535899323... instead of pi, which is 3.14159265358979323...) the new number would still be an "infinite, non-repeating decimal." But if your encoding calls for a seven in the date, time, or manner of your death , the new "infinite, non-repeating decimal" no longer contains it anywhere.
I would be interested in seeing an open-book version of this, since it seems to me that the questions posed can be answered pretty much as fast as I can type into Google. I Google things constantly: if something is about to take me more than 20 seconds, but wouldn't if I glanced at at the first Google result, then that 20 seconds is so not happening.
On the other hand, Google won't select a data structure for you. So, I would be interested in more real-world questions, where the grounding is necessary to understand the question, but you can use Google and Wikipedia as much as you want, especially when it's a matter of seconds.
For example, if you removed all the 7's from pi, producing a new number, (i.e. 3.1415926535899323... instead of pi, which is 3.14159265358979323...) the new number would still be an "infinite, non-repeating decimal." But if your encoding calls for a seven in the date, time, or manner of your death , the new "infinite, non-repeating decimal" no longer contains it anywhere.