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wu :: forums    riddles    easy (Moderators: Eigenray, Grimbal, ThudnBlunder, Icarus, william wu, SMQ, towr)    rich snobs..... « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: rich snobs.....  (Read 447 times) see-saw Guest rich snobs.....   « on: Nov 23rd, 2003, 8:14am » Quote Modify Remove There are 100 millionairs in the Gourmet Food Club. Being the picky eaters they are, most of them stick up their noses at 'common' food. Only 15 of them have actually tried both cheese burger and french fries. Altogether, 72 of them have never tried a Cheese burger, and 81 have never even touched French/Freedom fries. So how many millionairs in the Gourmet Food Club have never tried french fries or cheese bruger? IP Logged TenaliRaman Uberpuzzler I am no special. I am only passionately curious.     Gender: Posts: 1001 Re: rich snobs.....   « Reply #1 on: Nov 23rd, 2003, 10:41am » Quote Modify :: n(B[smiley=bigcap.gif]F)=15 (i will denote complements as B* and so on) n(B*)=72 n(F*)=81   (B[smiley=bigcap.gif]F)* = B*[smiley=bigcup.gif]F* n(B*[smiley=bigcup.gif]F*)=100-15=85   n(B*[smiley=bigcup.gif]F*)=n(B*)+n(F*)-n(B*[smiley=bigcap.gif]F*) 85 = 72 + 81 - n(B*[smiley=bigcap.gif]F*) n(B*[smiley=bigcap.gif]F*) = 153 - 85 = 68 :: IP Logged Self discovery comes when a man measures himself against an obstacle - Antoine de Saint Exupery DeMark Full Member     Gender: Posts: 280 Re: rich snobs.....   « Reply #2 on: Nov 23rd, 2003, 11:21am » Quote Modify My head hurts... IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: rich snobs.....   « Reply #3 on: Nov 23rd, 2003, 11:34am » Quote Modify Perhaps simpler to understand for people that don't understand the notation.. :: There are 72 people that never tried fries, so 28 that did. 15 people who tried fries als tried burgers, so there are 28-15=13 of these that never tried burgers. 81 people in total never tried burgers, and among these we  identified 13 that did try fries, so 81-13=68 tried neither burgers nor fries.:: 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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