معما؛ چند مسابقه باید برگزار شود؟

مجله تفریحی سرگرمی دخترونه

معما؛ چند مسابقه باید برگزار شود؟

معما با جواب

 

تعداد شرکت‌کنندگان در بخش انفرادی مسابقات تنیس ویمبلدون ۱۲۸ نفر است. این رقابت‌ها حذفی است یعنی هر کس ببازد، حذف می‌شود. در هر مرحله نیمی از شرکت‌کنندگان که بازی‌هایشان را برده‌اند به مرحله بعد می‌روند و بقیه از دور خارج می‌شوند.

با این توضیحات اگر تعداد شرکت‌کنندگان را چهار برابر کنند و به ۵۱۲ نفر افزایش دهند، چند مسابقه در کل رقابت‌ها باید انجام شود تا قهرمان معلوم شود؟

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پاسخ معمای چند مسابقه باید برگزار شود:

۵۱۱ مسابقه.

این رقابت‌ها حذفی است و کسی در آن قهرمان می‌شود که هیچ باختی نداشته باشد. بقیه بازیکنان همه یک بار – و فقط یک بار – می‌بازند.

بنابراین هر شرکت‌کننده‌ای غیر از قهرمان باید یک بار ببازد و برای هر باخت باید یک مسابقه برگزار شود. به این ترتیب با ۵۱۲ شرکت ‌کننده ۵۱۱ مسابقه برای تعیین قهرمان برگزار می‌شود.

 

اگر هنوز برایتان روشن نیست این طور حساب کنید:

اگر ۵۱۲ شرکت کننده داشته باشیم در مرحله اول نصف این تعداد یعنی ۲۵۶ مسابقه خواهیم داشت. بعد در هر مرحله تعداد مسابقات نصف می‌شود. مجموع تعداد مسابقات را می‌توان این طور حساب کرد:

 ۵۱۱=۱+۲+۴+۸+۱۶+۳۲+۶۴+۱۲۸+۲۵۶

 

گردآوری:بخش سرگرمی دخترونه

مجلهتفریحیسرگرمیدخترونه

۲۵ دیدگاه
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