Set Theory - Education

Set Theory - Education - Nairaland

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Set Theory by Dariye(op): 12:08pm On Feb 29, 2012

pls who can help me interprete this, i would solve the answers myself.

Re: Set Theory by Dariye(op): 12:13pm On Feb 29, 2012

A team consists of 22 players, each of them are able to play in midfield,defence and attack.

the number of players who can play in the midfield only is twice the number of those who can play in attack and midfield and two more than the number who can play in attack only.
The number of players who can play in defence and midfield is twice the number that can play in midfield and attack, while the number who can play in defence only is the same as the number who can play in only.
If all the players who can defend and attack can also play in midfield and 14 can play in only one position. Find the number of players who can play in
1. All the three positions
2. Attack
3. Attack and defence
4.defence and midfield
5.defence or attack
6.midfield and attack but not defence.

Re: Set Theory by jidesp(m): 6:01am On Feb 05, 2015

Dariye:
A team consists of 22 players, each of them are able to play in midfield,defence and attack.

the number of players who can play in the midfield only is twice the number of those who can play in attack and midfield and two more than the number who can play in attack only.
The number of players who can play in defence and midfield is twice the number that can play in midfield and attack, while the number who can play in defence only is the same as the number who can play in only.
If all the players who can defend and attack can also play in midfield and 14 can play in only one position. Find the number of players who can play in
1. All the three positions
2. Attack
3. Attack and defence
4.defence and midfield
5.defence or attack
6.midfield and attack but not defence.

How did you eventually solve the question, please tell me

Re: Set Theory by Nobody: 12:12am On Apr 01, 2015

Dariye:
A team consists of 22 players, each of them are able to play in midfield,defence and attack.

the number of players who can play in the midfield only is twice the number of those who can play in attack and midfield and two more than the number who can play in attack only.
The number of players who can play in defence and midfield is twice the number that can play in midfield and attack, while the number who can play in defence only is the same as the number who can play in only.
If all the players who can defend and attack can also play in midfield and 14 can play in only one position. Find the number of players who can play in
1. All the three positions
2. Attack
3. Attack and defence
4.defence and midfield
5.defence or attack
6.midfield and attack but not defence.

Somethings seems to be missing in the question, I think I may be able to solve it If I get it. What is the position after the emboldened?

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