In a survey of a TriDelt chapter with 50 members, 21 were taking mathematics, 32 were taking English, and 7 were taking both. How many were not taking either of these subjects?

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

50 = 21 + 32 - 7 + other
other = 4

or

If you know Venn diagrams, this is a real easy one to set up

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

First, we add the number of members taking mathematics (21) and the number of members taking English (32) to get a total of 53 members. However, by doing this, we are counting the 7 individuals who are taking both subjects twice.

To account for this overlap, we need to subtract the 7 individuals who are taking both mathematics and English from the total. Therefore, the total number of members taking either mathematics or English is 53 - 7 = 46.

Since there are 50 members in total, the number of members who are not taking either mathematics or English is 50 - 46 = 4.

Therefore, there are 4 members who are not taking either mathematics or English.