Question

11 teams are taking part in a tournament, then how many teams will appear in lower half​

Answer 1

Given : number of teams are 15  

To Find :  the number of Total matches

Solution:

Total Number off teams  = 15

For any match number of team required = 2

as Team A playing against B or Team playing against A is same thing

Hence order of selection of team does not matter

Number of ways of selecting 2 teams out of 15 is  :

¹⁵C₂

= 15* 14 /2

= 105

105 matches

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Answer 2

Given - Number of teams - 11

Find - Number of teams that will appear in lower half.

Solution - Assuming a knockout tournament, number of teams that will appear in lower half is calculated by the formula -

(n-1)/2

where, n is number of teams.

Keeping the values in formula, number of teams that will appear in lower half are - (11-1)/2

Number of teams that will appear in lower half - 10/2

Number of teams that will appear in lower half - 5

Hence, total number of teams that will appear in lower half - 5