In a class of 50 student, it's know that 30 of them do Art ,24 do chemistry and 22 do biology.All the student do at least one of the three subjects.4 do all the subjects while 8 do Art and biology.7 do chemistry and Art but not biology and 10 chemistry and biology, how many students do
Biology only or chemistry only or Art only?
To find the number of students who do only one subject, we need to subtract the number of students who do more than one subject from the total number of students who do each subject.
Let's start with Art:
Total number of students doing Art = 30
Number of students doing Art and biology = 8
Number of students doing Art and chemistry, but not biology = 7
Number of students doing all three subjects = 4
To find the number of students doing Art only, we need to subtract the students who do Art and another subject from the total number of students doing Art:
30 - 8 - 7 - 4 = 11
Therefore, 11 students do Art only.
Now let's move on to chemistry:
Total number of students doing chemistry = 24
Number of students doing chemistry and Art, but not biology = 7
Number of students doing chemistry and biology = 10
Number of students doing all three subjects = 4
To find the number of students doing chemistry only, we need to subtract the students who do chemistry and another subject from the total number of students doing chemistry:
24 - 7 - 10 - 4 = 3
Therefore, 3 students do chemistry only.
Finally, let's consider biology:
Total number of students doing biology = 22
Number of students doing Art and biology = 8
Number of students doing chemistry and biology = 10
Number of students doing all three subjects = 4
To find the number of students doing biology only, we need to subtract the students who do biology and another subject from the total number of students doing biology:
22 - 8 - 10 - 4 = 0
Therefore, there are no students who do biology only.
In conclusion, there are 11 students who do Art only, 3 students who do chemistry only, and no students who do biology only.