In some game 139 members have participated every time one fellow will ...
Problem:
In a game, 139 members have participated and every time one fellow gets out. We need to determine the number of matches required to choose the champion.
Solution:
To find the number of matches required, let's analyze the scenario step by step.
Step 1:
In the first match, 138 players will be left after one gets out.
Step 2:
In the second match, again one player gets out, so the total number of players remaining is 137.
Step 3:
Continuing this process, we can see that after each match, one player gets out, and the number of players remaining decreases by 1.
Step 4:
We can summarize the number of players remaining after each match in a table:
Match Number | Players Remaining
-----------------------------
1 | 138
2 | 137
3 | 136
... | ...
... | ...
... | ...
... | 2
... | 1
Step 5:
To determine the number of matches required to choose the champion, we need to find when the number of players remaining becomes 1.
Step 6:
From the table shown above, we can observe that the number of players remaining decreases by 1 after each match. Therefore, the number of matches required will be equal to the number of players minus 1.
Step 7:
In this game, 139 players have participated, so the number of matches required to choose the champion will be:
139 - 1 = 138
Answer:
The number of matches required to choose the champion is 138.