There-are-128-players-in-the-first-round-of-a-knockout-competition-Half-of-the-players-were-knocked-out-in-each-round-How-many-players-took-part-in-the-fourth-round-How-many-rounds-were-there-in-th

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

There are 128 players in the first round

of a knockout competition . Half of the

players were knocked out in each round .

How many players took part in the

fourth round ? How many rounds were there

in this competion ?

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

1 s t r o u n d : 128 \to 64

2 n d r o u n d : 64 \to 32

3 r d r o u n d : 32 \to 16

4 t h r o u n d : 16 \to 8

5 t h r o u n d : 8 \to 4

6 t h r o u n d : 4 \to 2

7 t h r o u n d : 2 \to 1

\Rightarrow 16 p l a y e r s t o o k p a r t i n 4 t h r o u n d,

t h e r e w e r e 7 r o u n d s .

Commented by pete last updated on 06/Apr/19

Thank you sir

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

(b) 2^{x} = 128 \Rightarrow x = 7 r o u n d s .

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

R a h u l \dots y o u p l s f e e d p r o b l e m s i n t h e f o r u m . .

w e a r e s t a r v e d \dots f e e d i n d i s l e s s s o f o r u m i s g e t t i n g

s l o w e d d o w n \dots