In a class of 30 learners,17 play football,15 play vollyball,12 play rugby.9 learners play vollyball only and 3 play rugby only.If all learners play at least one of the three sports.Use a venn diagram to find the number of learners who pray only vollyball and rugby

give me the answer

Yes

Good

so, did you actually draw the diagram? And fill in the numbers?

To find the number of learners who play only volleyball and rugby, we will use a Venn diagram.

Step 1: Draw three overlapping circles to represent football, volleyball, and rugby. The circles should overlap to show the players who play both sports. Label the circles with "Football," "Volleyball," and "Rugby," respectively.

Step 2: In our case, we know that 17 learners play football, 15 learners play volleyball, and 12 learners play rugby. We can place these numbers in the corresponding regions of the Venn diagram, where the circles overlap.

Step 3: We are given that 9 learners play volleyball only, which means they do not play any other sport. We can write this number in the region of the Venn diagram that belongs to volleyball but does not overlap with the other circles.

Step 4: Similarly, we are given that 3 learners play rugby only, which means they do not play any other sport. We can write this number in the region of the Venn diagram that belongs to rugby but does not overlap with the other circles.

Step 5: Now, we need to find the number of learners who play only volleyball and rugby. To do this, we need to add the numbers in the regions that belong to volleyball only and rugby only. In this case, it would be 9 (learners who play volleyball only) + 3 (learners who play rugby only) = 12.

So, according to the information given, there are 12 learners who play only volleyball and rugby.