Asked by Abdul
110 members of a sports club play atleast one of the games, football, basketball and volleyball. If 20 play football and basketball only, 15 play football and volleyball only, 26 play basketball and volleyball only, x play all the three games, 2x each play only one game, how many play basketball altogether?
Answers
Answered by
Anonymous
i need answer
Answered by
Ayodeji
52
Answered by
Edidiong Umanah
52 is the answer
Answered by
Darematics
Let the Sports Club be denoted by U,
.
F = Football
.
B = Basketball
.
V = Volleyball
.
n(U) = 110
.
n(FnBnC') = 20
.
n(FnVnB') = 15
.
n(BnVnF') = 26
.
n(FnBnV) = x
.
n(FnB'nV') = n(F'nBnV') = (F'nB'nV) = 2x
.
Note: B', F' and V' denote the complements of the various sets(clubs).
.
n(U) = n(FuBuV) + n(FuBuV)'
.
In this case, n(FuBuV)' is empty.
.
110 = 2x + 20 + x + 15 + 2x + 26 + 2x
.
110 = 61 + 7x
.
49 = 7x
.
x = 7
.
n(B) = 20 + 26 + x + 2x
.
n(B) = 20 + 26 + 3x
.
n(B) = 20 + 26 + 21
.
n(B) = 67
.
67 members play Basketball altogether.
~Darematics(07034495462)
.
F = Football
.
B = Basketball
.
V = Volleyball
.
n(U) = 110
.
n(FnBnC') = 20
.
n(FnVnB') = 15
.
n(BnVnF') = 26
.
n(FnBnV) = x
.
n(FnB'nV') = n(F'nBnV') = (F'nB'nV) = 2x
.
Note: B', F' and V' denote the complements of the various sets(clubs).
.
n(U) = n(FuBuV) + n(FuBuV)'
.
In this case, n(FuBuV)' is empty.
.
110 = 2x + 20 + x + 15 + 2x + 26 + 2x
.
110 = 61 + 7x
.
49 = 7x
.
x = 7
.
n(B) = 20 + 26 + x + 2x
.
n(B) = 20 + 26 + 3x
.
n(B) = 20 + 26 + 21
.
n(B) = 67
.
67 members play Basketball altogether.
~Darematics(07034495462)
Answered by
Shoetan Fuad
67 members play basketball altogether
Answered by
Darasimi
Pls how was the answer 52 gotten
Answered by
Jeremiah
Pls Ayodeji And Edidiong Umanah How Did U Get 52 To Be The Answer
Answered by
Somzy
How many played football and how many played volleyball. Please I need a straight answer
Answered by
Favour
Pls how was 52 gotten
Answered by
Anonymous
pls how did you get 52
Answered by
Anonymous
Thank you so much
Have been trying it all day but still didn't get
Have been trying it all day but still didn't get
Answered by
Tammy
Pls can u represent in on a venn diagram
Answered by
Babatunde
How did you arrive at 52
Answered by
Joseph
Pls can u represent it in a Venn diagram
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