Order Changes Everything

When sequence matters, the count of possibilities explodes — each new item multiplies the total by the next whole number. That single rule is why combination locks resist guessing, why DNA sequencing must track the exact order of bases, and why a short password and a long one are worlds apart in strength.

So the next time you face a decision with steps, ranks, or sequences, ask one question: does order matter? If it does, you are counting permutations, and the possibilities multiply fast. That instinct — spotting when arrangement, not just selection, drives the count — is the real takeaway, and it keeps you from the costly miscounts that derail probabilities, brackets, and schedules.