In a small school of 100 students 70 like red, 50 like blue and 10 like yellow. If told that the 10 students who selected yellow do not like red or blue.



How many students like red and blue?

To find out how many students like both red and blue, we need to subtract the number of students who like only red, only blue, and only yellow from the total number of students who like red and/or blue.

First, let's calculate the number of students who like only red. We know that 70 students like red, and 10 students like yellow but not red or blue. So, the number of students who like only red will be 70 - 10 = 60.

Next, let's calculate the number of students who like only blue. We know that 50 students like blue, and 10 students like yellow but not red or blue. So, the number of students who like only blue will be 50 - 10 = 40.

Now, let's calculate the number of students who like only yellow. We know that 10 students like yellow but not red or blue.

To find out how many students like both red and blue, we subtract the number of students who like only red, only blue, and only yellow from the total number of students.

Total number of students = 100

Number of students who like only red = 60
Number of students who like only blue = 40
Number of students who like only yellow = 10

Number of students who like both red and blue = Total number of students - (Number of students who like only red + Number of students who like only blue + Number of students who like only yellow)

Number of students who like both red and blue = 100 - (60 + 40 + 10) = 100 - 110 = -10

Based on the given information, it seems there might be an error or contradiction in the data. It is not possible to have negative students, so please review the data or check for any inconsistencies in the information provided.