In a survey of a TriDelt chapter with 50 members, 21 were taking mathematics, 33 were taking English, and 6 were taking both. How many were not taking either of these subjects?

members

N(M or E) = N(M) + N(E) - N(M and E)

= 21 + 33 - 6 = 48

but 50 were surveyed
so 2 did not take either Math or English

To find the number of members who were not taking either mathematics or English, we need to use the principle of inclusion-exclusion.

Step 1: Find the number of members taking mathematics (M) = 21.
Step 2: Find the number of members taking English (E) = 33.
Step 3: Find the number of members taking both (B) = 6.

We can use the formula for finding the total number of members who took either mathematics or English:

Total = M + E - B

Total = 21 + 33 - 6
Total = 48

So, there were a total of 48 members who were taking either mathematics or English.

To find the number of members who were not taking either of these subjects, we subtract the total number of members (50) from the number of members taking either mathematics or English (48).

Number of members not taking either subject = Total members - Members taking either subject

Number of members not taking either subject = 50 - 48
Number of members not taking either subject = 2

Therefore, there were 2 members who were not taking either mathematics or English.

To find the number of members who were not taking either mathematics or English, we can use the principle of inclusion-exclusion.

First, we need to find the number of members taking at least one of the subjects. To do this, we add the number of members taking mathematics (21) and the number of members taking English (33). However, we should subtract the number of members taking both subjects (6) since we counted them twice.

So, the number of members taking at least one of the subjects is:
21 + 33 - 6 = 48

Now, we can find the number of members who were not taking either subject by subtracting this number from the total number of members (50):
50 - 48 = 2

Therefore, 2 members were not taking either mathematics or English.