In 2013 all the 180, student of a class played either chess polo or tennis of two out of there 3 game or all the 3 game 84 of them played chess 87 played polo and 87 played tenins 39 pay led only polo and 16 played both chess and tenins but not polo in 2014 a new football ground was opened and 20 new student were added to the chess who played only football all the previous students continued to play the same game that were playing in 2013 some old students also started playing football and there were a total of 43 students who played football in 2014 none of the students played all the four game and none of the students played both chess and football of the 11 students who played both polo and tenins but not chess in 2013 ,3 played football in 2014 37 students played only tenins in 2014 11 students played both polo and football and no other game in 2014 37 students played both chess and polo in 2013 .....

Question

In 2013 all the 180, student of a class played either chess polo or tennis of two out of there 3 game or all the 3 game 84 of them played chess 87 played polo and 87 played tenins 39 pay led only polo and 16 played both chess and tenins but not polo in 2014 a new football ground was opened and 20 new student were added to the chess who played only football all the previous students continued to play the same game that were playing in 2013 some old students also started playing football and there were a total of 43 students who played football in 2014 none of the students played all the four game and none of the students played both chess and football of the 11 students who played both polo and tenins but not chess in 2013 ,3 played football in 2014 37 students played only tenins in 2014 11 students played both polo and football and no other game in 2014 37 students played both chess and polo in 2013 .....

Answer 1

why don't you make a nice table out of all this stuff and work up some Venn diagrams and maybe show some work and let us know just what the trouble is instead of just tossing a bunch of numbers and stuff into the vat and stirring it up into one long and confusing run-n-and-on-and-on sentence that just makes me go blind when i try to read it

Answer 2

To solve this problem step-by-step, we can start by summarizing the given information:

- In 2013, there were 180 students in the class.
- They played either chess, polo, or tennis, either two out of the three games or all three.
- 84 students played chess.
- 87 students played polo.
- 87 students played tennis.
- 39 students played only polo.
- 16 students played both chess and tennis but not polo.
- In 2014, 20 new students were added to the chess team who played only football.
- All the previous students continued to play the same game they were playing in 2013.
- Some old students also started playing football, and there were a total of 43 students who played football in 2014.
- None of the students played all four games.
- None of the students played both chess and football.
- Out of the 11 students who played both polo and tennis but not chess in 2013, 3 played football in 2014.
- 37 students played only tennis in 2014.
- 11 students played both polo and football, and no other game, in 2014.
- 37 students played both chess and polo in 2013.

Now let's solve the problem step-by-step:

Step 1: Calculate the number of students who played chess only in 2013.
- To find the number of students who played chess only in 2013, we need to subtract the number of students who played both chess and polo from the total number of chess players.
- Chess players in 2013 = 84 (given)
- Chess and polo players in 2013 = 37 (given)
- Chess only players in 2013 = Chess players in 2013 - Chess and polo players in 2013
= 84 - 37
= 47

Therefore, there were 47 students who played chess only in 2013.

Step 2: Calculate the number of students who played chess in 2014.
- In 2014, 20 new students joined the chess team and played only football.
- So, the number of students who played chess in 2014 is the sum of chess players in 2013 (84) and the new students who joined (20).
- Chess players in 2014 = Chess players in 2013 + New students who joined
= 84 + 20
= 104

Therefore, there were 104 students who played chess in 2014.

Step 3: Calculate the number of students who played tennis and polo in 2014.
- We already know that 87 students played tennis in 2013.
- In 2014, 37 students played only tennis, so we subtract this number from the total number of tennis players to get the number of students who played both tennis and polo in 2014.
- Tennis players in 2014 = Tennis players in 2013 - Students who played only tennis in 2014
= 87 - 37
= 50

Therefore, there were 50 students who played both tennis and polo in 2014.

Step 4: Calculate the number of students who played polo in 2014.
- We already know that 87 students played polo in 2013.
- In 2014, 11 students played both polo and football exclusively, so we subtract this number from the total number of polo players to get the number of students who played only polo in 2014.
- Polo players in 2014 = Polo players in 2013 - Students who played both polo and football exclusively in 2014
= 87 - 11
= 76

Therefore, there were 76 students who played polo in 2014.

Step 5: Calculate the total number of students who played football in 2014.
- We know that 43 students played football in 2014.
- We also know that none of the students played both chess and football.
- So, the total number of students who played football in 2014 is the sum of new students who joined (20) and the students who played both polo and football exclusively (11).
- Football players in 2014 = New students who joined + Students who played both polo and football exclusively
= 20 + 11
= 31

Therefore, there were 31 students who played football in 2014.

Step 6: Calculate the number of students who played tennis in 2014.
- We know that 87 students played tennis in 2013.
- In 2014, 37 students played only tennis.
- We also know that 3 students who played both polo and tennis but not chess in 2013 played football in 2014.
- So, the number of students who played tennis in 2014 is the sum of tennis players in 2013, new students who joined, and students who played both polo and tennis but not chess in 2013, and then subtracting the students who played only tennis in 2014 and the students who played football in 2014.
- Tennis players in 2014 = Tennis players in 2013 + New students who joined + Students who played both polo and tennis but not chess in 2013 - Students who played only tennis in 2014 - Students who played football in 2014
= 87 + 0 + 3 - 37 - 31
= 22

Therefore, there were 22 students who played tennis in 2014.

In summary, the number of students who played each sport in 2014 are as follows:
- Chess: 104 students
- Polo: 76 students
- Tennis: 22 students
- Football: 31 students

Answer 3

To solve this problem, let's break down the information and use a Venn diagram to visualize it. Here are the given conditions:

- In 2013, there were 180 students in a class.
- They played either chess, polo, or tennis, or a combination of these games.
- 84 students played chess, 87 students played polo, and 87 students played tennis.
- 39 students played only polo.
- 16 students played both chess and tennis, but not polo.
- In 2014, 20 new students joined the chess team and played only football.
- All previous students continued to play the same game they played in 2013.
- Some old students also started playing football.
- There were a total of 43 students who played football in 2014.
- No students played all four games.
- No students played both chess and football.
- Out of the 11 students who played both polo and tennis but not chess in 2013, 3 played football in 2014.
- 37 students played only tennis in 2014.
- 11 students played both polo and football but no other game in 2014.
- 37 students played both chess and polo in 2013.

Now, let's construct the Venn diagram:

_________________
| Chess |
|_________________|
/ \
__/___ \____
| Polo | |Tennis|
|_______| |_____|

According to the given information, we have:

- Chess (84): This includes students who only played chess, students who played both chess and tennis but not polo, and students who played both chess and polo.
- Polo (87): This includes students who only played polo, students who played both polo and tennis but not chess, and students who played both chess and polo.
- Tennis (87): This includes students who only played tennis, students who played both chess and tennis but not polo, and students who played both polo and tennis.
- Football (43): This includes new students who joined chess and played only football, old students who played either chess or polo in 2013 and started playing football in 2014, and students who played both polo and football but no other game in 2014.

Using the given conditions, we can calculate other values on the Venn diagram:

- Students who played only polo in 2013 (39): This is already given.
- Students who played both chess and tennis but not polo in 2013 (16): This is already given.
- Students who played both polo and tennis but not chess in 2013 (11): This is already given.
- Students who played only tennis in 2014 (37): This is already given.
- Students who played both polo and football but no other game in 2014 (11): This is already given.

Now, let's calculate the remaining values on the Venn diagram:

- Students who played only chess in 2013 = Total chess players - (Chess and Tennis only) - (Chess and Polo) = 84 - 16 - 37 = 31.
- Students who played only polo in 2014 = Total polo players - (Chess and Polo) - (Polo and Tennis but not Chess) - (Polo and Football but not Chess) = 87 - 37 - 11 - 11 = 28.
- Students who played only football in 2014 = Total football players - (Polo and Football but not Chess) = 43 - 11 = 32.
- Students who played both chess and polo in 2014 = Chess and Polo = 37 (since the number of students who played both chess and polo doesn't change).
- Students who played both chess and tennis in 2014 = Chess and Tennis only + (Chess and Polo) - Chess and Polo = 16 + 37 - 37 = 16.
- Students who played both polo and tennis in 2014 = Polo and Tennis only + (Chess and Polo) - Polo and Football but not Chess = 11 + 37 - 11 = 37.
- Students who played chess, polo, and tennis in 2014 = Chess and Polo and Tennis = (Chess and Polo) - Chess and Polo = 37 - 37 = 0.

Now we have all the information about the number of students involved in each game in both 2013 and 2014.

Answer 4

I know I can't help you but

Is this the nikhil-jain riddle ( like the 'Einstein's riddle')
And who gives such large questions. And what about grammar and punctuation.
And I don't see a question there. It seems as if it's a paragraph and there is no question?
What are u asking???????????????????????????