Question

if there are 35 teams . how many matches will be played in first round. pleade elaborate .​

Answer 1

Answer:

5 matches

they can play in first round

Answer 2

Given:

Number of teams = 35

To find:

number of matches in the first round

Solution:

Total number of matches played in the entire tournament= Total number of teams - 1

= 35 - 1

=34

Total number of rounds played n the tournament = y such that $2^{y}$ ≥no. of teams

Here 2⁶ = 64 > 35

So, number of rounds = 6

There will be 1 match in the 6th round,

2 matches in the 5th round,

4 matches in 4th and 8 matches in the 3rd and 16 matches in the 2nd round

So the number of matches in the 1st round = 34 - (1+2+4+8+16)

= 34 - 31

= 3 (rest all the teams will be bye and not play in the first round.)

Hence, 3 matches will be played in the first round.

(A fixture of 35 teams is attached below for clarification.)