Q/5 pts 0 Details A group of 272 students were surveyed about the courses they were taking at their college with the following results: 69 students said they were taking Math. 164 students said they were taking English. 100 students said they were taking History. 40 students said they were taking Math and English. 52 students said they were taking Math and History. 60 students said they were taking English and History. 33 students said they were taking all three courses. Draw a Venn diagram and use it to answer the question. How many students took Math, English, or History? Question Help: Video Submit Question

To solve this problem, we will use a Venn diagram to represent the number of students taking Math, English, and History courses. We will then use the information provided to fill in the Venn diagram and find the total number of students taking Math, English, or History. Let's start by drawing the Venn diagram with three circles representing Math, English, and History courses. We will label the intersections of the circles with the number of students taking two or all three courses. 1. Total number of students: 272 2. Number of students taking Math: 69 3. Number of students taking English: 164 4. Number of students taking History: 100 5. Number of students taking Math and English: 40 6. Number of students taking Math and History: 52 7. Number of students taking English and History: 60 8. Number of students taking all three courses: 33 Now, let's fill in the Venn diagram with the given information: - The total number of students is 272. - The number of students taking Math is 69. - The number of students taking English is 164. - The number of students taking History is 100. - The number of students taking Math and English is 40. - The number of students taking Math and History is 52. - The number of students taking English and History is 60. - The number of students taking all three courses is 33. Using the Venn diagram, we can calculate the total number of students taking Math, English, or History by adding the number of students in each circle and subtracting the overlaps. Let's calculate the total number of students taking Math, English, or History. Calculate the value by following steps: - step0: Calculate: \(69+164+100-40-52-60+33\) - step1: Calculate: \(214\) The total number of students taking Math, English, or History is 214. Therefore, 214 students took Math, English, or History.