Quantitative Aptitude :: Permutation and Combination - Discussion
Home > Quantitative Aptitude > Permutation and Combination > MCQs Questions Discussion
324 / 100
Choose the correct option.
There are 16 teams divided in 4 groups. Every team from each group will play with each other once. The top 2 teams will go to the next round and so on the top two teams will play the final match. Minimum how many matches will be played in that tournament?
A43
B40
C14
D50
Answer: Option (Login/Signup)
Show Explanation
Asked In ::
STEP-BY-STEP
: In each group, total matches played = 4C2 = 6.
So total matches played in the first round = 6 * 4 = 24
Now top two teams from each group progress to the next round.
Now these 8 teams are pooled into 2 groups of 4 teams
. Total matches played in the second round = 6 * 2 = 12. (4C2=6 in each grp)
Now 4 teams progress to the next round.
Total matches played in the third round = 4C2 =6
From this round, 2 teams progress to the next round. And final will be played between them.
Total matches = 24 + 12 + 6 + 1 = 43
So total matches played in the first round = 6 * 4 = 24
Now top two teams from each group progress to the next round.
Now these 8 teams are pooled into 2 groups of 4 teams
. Total matches played in the second round = 6 * 2 = 12. (4C2=6 in each grp)
Now 4 teams progress to the next round.
Total matches played in the third round = 4C2 =6
From this round, 2 teams progress to the next round. And final will be played between them.
Total matches = 24 + 12 + 6 + 1 = 43
Read Full Answer
Report Error
Please Login First Click Here