Question

Of 120 students, 72 are members of Math club and 64 are members of a Language club. If 12 are members of neither Language nor mathematics club, then how many students are members of only Math club?​

Answer 1

there are 56 students who are members of only the Math club.

Explanation:

Given information:

Total number of students = 120

Number of Math club members = 72

Number of Language club members = 64

Number of students who are members of neither club = 12

To find the number of students who are members of both clubs, we can use the principle of inclusion-exclusion. The formula is as follows:

Number of students in both clubs = Number of Math club members + Number of Language club members - Total number of students

Number of students in both clubs = 72 + 64 - 120 = 16

Now, to find the number of students who are members of only the Math club, we subtract the number of students in both clubs from the number of Math club members:

Number of students in only Math club = Number of Math club members - Number of students in both clubs

Number of students in only Math club = 72 - 16 = 56

Answer 2

44

Explanation:

120 students - 12 no club students = 108 club students

108 club students - 64 language students = 44 maths club students