There a re 30 students in a math class. Twelve belong to the computer club, and eight belong to the photography club. Three belong to both clubs. How many belong to neither?
There are twelve plus eight minus three who belong to any club.
How many belong to neither, out of thirty?
12?
Nope, but close!
30-(12+8-3) = ?
13!!!
To find the number of students who belong to neither club, we need to subtract the number of students who belong to at least one club from the total number of students in the math class.
First, let's find the number of students who belong to at least one of the clubs. We have 12 students in the computer club and 8 students in the photography club. However, we need to exclude the 3 students who belong to both clubs to avoid counting them twice.
So, the number of students who belong to at least one club is 12 + 8 - 3 = 17.
Now, to find the number of students who belong to neither club, we subtract this total from the total number of students in the class.
Total number of students in the math class = 30.
Number of students who belong to at least one club = 17.
Number of students who belong to neither club = Total number of students - Number of students who belong to at least one club.
= 30 - 17
= 13.
Therefore, 13 students belong to neither the computer club nor the photography club in the math class.