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wu :: forums    riddles    putnam exam (pure math) (Moderators: Icarus, Eigenray, towr, Grimbal, william wu, SMQ)    Number of balls in a bag « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Number of balls in a bag  (Read 1271 times) archau Newbie     Posts: 5 Number of balls in a bag   « on: Dec 30th, 2007, 1:10pm » Quote Modify We have balls numbered 1,2,3,4,5,..... and a bag   At time 0.9 secs we put ball 1 in the bag At time 0.99 secs we remove ball 1 and push in balls 2,3   At time 0.999 sec we remove ball 2 and push in balls 4,5,6   ....   How many balls are in the bag at time 1.0s? « Last Edit: Dec 30th, 2007, 1:11pm by archau » IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: Number of balls in a bag   « Reply #1 on: Dec 30th, 2007, 1:33pm » Quote Modify I dare you to name the lowest numbered ball that you didn't remove. IP Logged Wikipedia, Google, Mathworld, Integer sequence DB ThudnBlunder Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 Re: Number of balls in a bag   « Reply #2 on: Dec 30th, 2007, 4:40pm » Quote Modify http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_har d;action=display;num=1117490596 IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. temporary Full Member     Posts: 255 Re: Number of balls in a bag   « Reply #3 on: Jan 22nd, 2008, 9:46pm » Quote Modify Countably infinite. IP Logged My goal is to find what my goal is, once I find what my goal is, my goal will be complete. towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: Number of balls in a bag   « Reply #4 on: Jan 23rd, 2008, 12:52am » Quote Modify on Jan 22nd, 2008, 9:46pm, temporary wrote: Countably infinite. Ok, then tell me which balls weren't taken out? All balls have a number, so give the lowest numbered ball that isn't in the bag. IP Logged Wikipedia, Google, Mathworld, Integer sequence DB temporary Full Member     Posts: 255 Re: Number of balls in a bag   « Reply #5 on: Jan 23rd, 2008, 6:19pm » Quote Modify The lowest number ball that wasn't removed is IP Logged My goal is to find what my goal is, once I find what my goal is, my goal will be complete. towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: Number of balls in a bag   « Reply #6 on: Jan 24th, 2008, 12:16am » Quote Modify on Jan 23rd, 2008, 6:19pm, temporary wrote: The lowest number ball that wasn't removed is Indeed, it's non-existent; hence all balls must have been removed; hence none remain. IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs => putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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