₦airaland Forum

jidegirl12: Not Without my Daughter
Gold Finger( James Bond)
Live & Let die ( 007)
Poetic justice ( tupac& Janet Jackson , hope I got the title right)
Waiting to exhale
Beverly Hills cop 1,2&3 ( Eddie murphie)


That'll do for now

sholay2011: I'm glad you enjoyed those movies. Lemme recommend the following:

1. The Town.

2. V for Vendetta.

3. The Dark Knight.

4. Training Day.

5. Revolutionary road.

sholay2011: 1. The Help
2. Iron lady
3. Schlinder's list.
4 Silver linings playbook
5. The Silence of the lambs
6. Blue valentine
7. Winter's bone.
8. Inglorious Basterds.

Start wiv these ones and give me a feedback.

benbuks: in a class of 50 students all of whom take math, 18
students study chemistry, 17 study biology 24 study.
physics. of those studying 3 subjects. 5 study. physics &
chemistry, 7 study physics & bio, 6 study. chemistry &
biology while 2 take all 4 subjects ..how many. study.
only math.? ..


that's d question


thanks alot man.. in a class of 50 students all of whom take math, 18
students study chemistry, 17 study biology 24 study.
physics. of those studying 3 subjects. 5 study. physics &
chemistry, 7 study physics & bio, 6 study. chemistry &
biology while 2 take all 4 subjects ..how many. study.
only math.? ..


that's d question


thanks alot man..

Fab4succex: [img][/img]
Lwkmd

mathematician:

[font= georgia]the solution to your question is also long but step by step:

let defense = D
attack= A
midfield= M
the following set notations can be deduced from the question
the number of players who can play in all three positions= [D ∏ A ∏ M] = p
the number of players in defense and midfield but not attack= [D ∏ A¹ ∏ M]= x
the number of players in defense and attack but not midfield= [D ∏ A ∏ M¹]= y
the number of players who play in attack and midfield but not defense= [D¹ ∏ A ∏ M]= z.
the number of players who play in defense only is equal to the number who play in attack only i.e
[D ∏ A¹ ∏ M¹]= [D¹ ∏ A ∏ M¹]= q
the number op players who play midfield only= [D¹ ∏ A¹ ∏ M]= r
now the total number number of players that play in position equal 14 i.e 2q+r=14------------i
the players in midfield only is two more than those in attack only i.e r-q=2------------------ii
solving the above equation simultaneously r=6, and q=4
players who can play in midfield only is twice the number who can play in attack and midfield i.e r=2(p+z)
players who can play in defense and midfield is twice the number that can play in midfield and attack i.e p+x=2(p+z)
the following simultaneous equations from be gotten
x+y=5
p+x=6
y+z=2
x-p=-1
through these simultaneous equation, we can range of values for the unknown, given that
(x,y,z,p Ɛ G), the condition for the element of the set G is that it must not contain any negative integer
the range of values are given as
x= (1<x<2)
y= (3<y<4)
z= (0<z<1)
p= (2<p<3), then the set of values for G are (1,4,1,2) or (2,3,0,3), the accepted solution would be (1,4,1,2) since at least , one player must play in a particular position.
i. the number of players that play in all three position = p= 2 players
ii. the number of players that play in midfield= x+P+z+r= 1+2+1+6= 10 players
iii. the number of players that play in attack and defense= p+y= 4+2= 6 players
iv. the number of players that play in attack or defense= x+y+z+p+2q= 16 players
v. the number of players that play in attack and midfield but not defense = p+z= 3 players[/font]