Home
Class 12
MATHS
116 people participated in a knockout te...

`116` people participated in a knockout tennis tournament. The players are paired up in the first round, the winners of the first round are paired up in the second round, and so on till the final is played between two players. If after any round, there is odd number of players, one player is given a by, i.e. he skips that round and plays the next round with the winners. The total number of matches played in the tournment is

A

A. `115`

B

B. `53`

C

C. `232`

D

D. `116`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)` Since one player emerges the winner, each of the remaining `115` players loses in some round. So `115` matches are played. Alternatively , `58+29+14+7+4+2+1=115`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|2 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE PUBLICATION|Exercise Comprehension|8 Videos

  • PARABOLA

    CENGAGE PUBLICATION|Exercise Matching Column Type|1 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

Similar Questions

Explore conceptually related problems

What is round dance of bee?

The number of ways of arranging 6 players to throw the cricket ball so that oldest player may not throw first is

Which ones have round and biconcave shape

Which insect shows round and waggle dance?

Round worms in the intestine of human beings are belonging to

n persons are seated on n chairs at a round table. Find the probability that two specified persons are sitting next to each other.

The number of ways in which 7 persons can be seated at a round table if twom particular persons are not to sit together is

A team of 10 plyers is formed out of 22 players , if 6 particular players are always included and 4 particular players are always excluded then the number of ways in which the team can be formed, is-

Muscle fibres having rounded ends are