A college survey was taken to determine where students study. Of 114 students surveyed, 73 studied in the cafeteria, 55 studied in the student union, 21 studied in both the cafeteria and the student union.
Of those interviewed how many did not study in either the cafeteria or the student union? __
To find the number of students who did not study in either the cafeteria or the student union, we need to subtract the number of students who studied in both places from the total number of students surveyed.
Total students surveyed = 114
Students studied in both cafeteria and student union = 21
Number of students who did not study in either cafeteria or student union = Total students surveyed - Students studied in both places
Number of students who did not study in either cafeteria or student union = 114 - 21 = 93
Therefore, 93 students did not study in either the cafeteria or the student union.
To find the number of students who did not study in either the cafeteria or the student union, we need to subtract the number of students who studied in both places from the total number of students surveyed.
Total number of students studied in the cafeteria = 73
Total number of students studied in the student union = 55
Total number of students studied in both the cafeteria and the student union = 21
Number of students who did not study in either the cafeteria or the student union = Total number of students surveyed - Number of students who studied in both places
Number of students who did not study in either the cafeteria or the student union = 114 - 21
Number of students who did not study in either the cafeteria or the student union = 93
Therefore, 93 students did not study in either the cafeteria or the student union.
To find the number of students who did not study in either the cafeteria or the student union, we need to subtract the number of students who studied in both places from the total number of students surveyed.
Given:
Total number of students surveyed (T) = 114
Number of students who studied in the cafeteria (C) = 73
Number of students who studied in the student union (S) = 55
Number of students who studied in both cafeteria and student union (B) = 21
To find the number of students who did not study in either place, we can use the principle of Inclusion-Exclusion, which states that the total number of elements in two or more sets can be found by adding the number of elements in each set and then subtracting the number of elements that are in the intersection (where the sets overlap).
So, the formula for finding the number of students who did not study in either place is:
Total number of students who did not study in either place = T - (C + S - B)
Let's substitute the values into the formula:
Total number of students who did not study in either place = 114 - (73 + 55 - 21)
Now, let's calculate it step by step:
Total number of students who did not study in either place = 114 - (73 + 55 - 21)
= 114 - (128 - 21)
= 114 - 107
= 7
Therefore, out of the 114 students surveyed, 7 students did not study in either the cafeteria or the student union.