In a survey of a TriDelta chapte with 54 member, 20 were taking mathematics, 35 were taking English, and 6 were taking both. How many were not taking either subject?
20 + 35 = 55
55 - 6 = 49
54 - 49 = ?
To find out how many members were not taking either subject, we need to subtract the number of members taking both subjects from the total number of members.
Total members = 54
Number of members taking both subjects = 6
Number of members not taking either subject = Total members - Number of members taking both subjects
Number of members not taking either subject = 54 - 6
Number of members not taking either subject = 48
Therefore, 48 members were not taking either mathematics or English.
To find out how many members were not taking either subject, we can use the principle of inclusion-exclusion.
The number of members taking mathematics is 20, the number taking English is 35, and the number taking both is 6.
Now, let's break this down step by step:
1. Start by adding the number of members taking mathematics and the number taking English: 20 + 35 = 55.
However, this sum includes the 6 members who are taking both subjects, so we need to subtract this overlap once.
2. Subtract the number of members taking both subjects (6) from the sum: 55 - 6 = 49.
At this point, we have determined the total number of members taking either one or both subjects.
3. Finally, subtract this total (49) from the total number of members in the TriDelta chapter (54) to find the number of members not taking either subject: 54 - 49 = 5.
Therefore, there are 5 members in the TriDelta chapter who are not taking either mathematics or English.