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Question Number 57513 by pete last updated on 06/Apr/19

$$\mathrm{There}\mathrm{are}128\mathrm{players}\mathrm{in}\mathrm{the}\mathrm{first}\mathrm{round}$$$$\mathrm{of}\mathrm{a}\mathrm{knockout}\mathrm{competition}.\mathrm{Half}\mathrm{of}\mathrm{the}$$$$\mathrm{players}\mathrm{were}\mathrm{knocked}\mathrm{out}\mathrm{in}\mathrm{each}\mathrm{round}.$$$$\mathrm{How}\mathrm{many}\mathrm{players}\mathrm{took}\mathrm{part}\mathrm{in}\mathrm{the}$$$$\mathrm{fourth}\mathrm{round}?\mathrm{How}\mathrm{many}\mathrm{rounds}\mathrm{were}\mathrm{there}$$$$\mathrm{in}\mathrm{this}\mathrm{competion}?$$

Commented by mr W last updated on 06/Apr/19

$$1stround:128\to 64$$$$2ndround:64\to 32$$$$3rdround:32\to 16$$$$4thround:16\to 8$$$$5thround:8\to 4$$$$6thround:4\to 2$$$$7thround:2\to 1$$$$$$$$\Rightarrow 16playerstookpartin4thround,$$$$therewere7rounds.$$

Commented by pete last updated on 06/Apr/19

$$\mathrm{Thank}\mathrm{you}\mathrm{sir}$$

Commented by rahul 19 last updated on 06/Apr/19

$$\left(b\right)2^x=128\Rightarrow x=7rounds.$$

Commented by tanmay.chaudhury50@gmail.com last updated on 06/Apr/19

$$Rahul...youplsfeedproblemsintheforum..$$$$wearestarved...feedindislesssoforumisgetting$$$$sloweddown...$$

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