Answer:
To solve this problem, we can use a Venn diagram. We will start by drawing three overlapping circles representing volleyball, football, and tennis teams. The number of students in each team will be written inside the corresponding circle. We also know that 12 play volleyball and football, 5 play football and tennis, and 6 play tennis. Finally, we know that 4 students play all three sports.
Let's start by placing the number 4 in the intersection of all three circles, since they play all three sports.
Next, we can fill in the rest of the diagram using the information we have. We know that a total of 21 students play volleyball, so we can write 4 + 8 = 12 in the intersection of the volleyball and football circles, and 4 + 11 = 15 in the intersection of the volleyball and tennis circles. We also know that 26 students play football, so we can write 4 + 8 = 12 in the intersection of the football and volleyball circles, and 4 + 5 = 9 in the intersection of the football and tennis circles. Finally, we know that 15 students play tennis, so we can write 4 + 11 = 15 in the intersection of the tennis and volleyball circles, and 4 + 5 = 9 in the intersection of the tennis and football circles.
To find the total number of selected students, we can add up all the numbers in the diagram:
Total number of selected students = 4 + 8 + 12 + 5 + 3 + 11 + 15 = 58
Therefore, the total number of selected students in UMK is 58.
Explanation: