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)
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
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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