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If you were playing with instead of 11, and the same rules applied (take 1, 2, or 3; last one loses), how many sticks should you take on your first move to guarantee a win? A) 1 stick B) 2 sticks C) 3 sticks Answer and Explanation:

). By controlling these cycles, you dictate who hits the final, unavoidable stick. Practice Challenge If you were playing with instead of 11,

To win, you must force your opponent to take the very last stick. The mathematical secret is to always leave your opponent with a number of sticks that is a multiple of (e.g., 9, 5, or 1 stick). Practice Challenge To win, you must force your

: Following this pattern ensures your opponent is eventually left with exactly 1 stick , which they are forced to pick up, making them the loser. Why This Works Why This Works