Logic Puzzles · Billy-B
Logic Puzzle #56
From Billy-B's legendary 1001 Puzzle Collection — preserved on Puzz.com since 1998.
Puzzle #56
If a juggler juggles 4 objects, how many total throws must he or she make before the objects are returned to their original positions (i.e. the original 2 objects in each hand)? The juggler starts out with 2 objects in each hand, & throws 1 object from 1 hand, then another object from the second hand, then the remaining object from the first hand, & so on. Except for the first throw for each hand, there is a moment where the throwing hand no longer holds anything after each throw. You may wish to draw a diagram for this one.
Reveal Answer
Pretend that A & B are the objects in the juggler's first hand, & C & D are the objects in the juggler's second hand — You thus start out as AB CD, & each step shows the result after each throw (note: some of the objects would not actually reach their destination in the steps in which they are shown arriving): 1. B ACD 2. BC AD 3. C ABD 4. CD AB 5. D ABC 6. AD BC 7. A BCD 8. AB CD It would take a total of 8 throws to get the objects back into their original positions.
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