in the class of 30 leaners 17 plays football 15 leaners plays volleyball, 12 leaners rugby 9 leaners plays volleyball only and 3 leaners plays rugby only.all leaners plays atleast one of three sports.use the venn diagram to find the number of leaners who plays only vollyball and rugby.
summary:
F = 17
V = 15
R = 9
V only = 9
R only = 3
Then you ask "find the number of leaners who plays only volleyball and rugby."
Wouldn't that be just 12 ????
What am I missing?
btw, what is a leaner ?
The question becomes interesting if you had asked to find all the separate parts of the Venn diagram, (it can be done)
I want to know mathematics
2t
To find the number of learners who play only volleyball and rugby, we can use the information given and plot it on a Venn diagram.
First, draw three overlapping circles representing football, volleyball, and rugby. Label them accordingly.
In the diagram, place 17 in the football circle since 17 learners play football. Place 15 in the volleyball circle for the 15 learners who play volleyball. Place 12 in the rugby circle for the 12 learners who play rugby.
Next, we place 9 in the overlap section between volleyball and rugby since 9 learners play both sports.
We also know that 3 learners play rugby only. Since 9 play both volleyball and rugby, we subtract 9 from the 12 who play rugby, leaving us with 3 learners who play rugby only.
Now, we need to find the number of learners who play only volleyball. To do this, we subtract the number of learners who play both volleyball and rugby (9) from the total number of volleyball players (15).
So, the number of learners who play only volleyball is 15 - 9 = 6.
Similarly, we can find the number of learners who play only rugby by subtracting the number of learners who play both volleyball and rugby (9) from the total number of rugby players (12), giving us 12 - 9 = 3.
Therefore, the number of learners who play only volleyball and rugby is 6 + 3 = 9.