The biology classes have completed a lab indicating that there are over a million zetters in a drop of zoop. The zetter is the smallest thing that can be discerned by our microscopes, but it is also known that:
- All zetters have zuffers, but none has more than 10;
- All zuffers have zeakles, but none has more than 10.
Taking all of these facts into consideration, figure out which of the following statements about a drop of zoop are positively true, and which are possibly false.
- Thousands of zetters have exactly the same number of zuffers as thousands of other zetters.
- Thousands of zuffers have exactly the same number of zeakles as thousands of other zuffers.
- Thousands of zetters have exactly the same number of zuffers, each of which contains exactly the same number of zeakles.
- Thousands of zetters contain exactly 5 zuffers.
Statements (a) and (b) are true. Since there are a million zetters being assigned only numbers 1 – 10, thousands will have the same number. Since there are a million zetters, there are at least a million zuffers, and the reasoning is the same for (b).
Statements (c) and (d) may be false. We don’t know that all zuffers on any zetter have the same number of zeakles, and we don’t know that any zetter has exactly 5 zuffers.