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? Choose the correct choice from the following choices:
A) 43
B) 44
C) 45
D) 46
E) 47
In each group, total matches played = 4C24C2 = 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. Total matches played in the second round = 6 × 2 = 12   Now 4 teams progress to the next round. Total matches played in the third round = 6   From this round, 2 teams progress to the next round. And final will be played between them.   Total matches = 24 + 12 + 6 + 1= 
<gadget id="calculator">24 + 12 + 6 + 1</gadget>
<output>43</output>
43   43nswer:43
<result>A</result>
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?