In a survey of a TriDelt chapter with 50 members, 20 were taking mathematics, 32 were taking English, and 6 were taking both. How many were not taking either of these subjects?
just recall the rule that
total = one + other - both.
So, counting just the ones taking something, you have
20+32-6 = 46
So, the other 4 took nothing.
To find the number of members who were not taking either mathematics or English, we can use the principle of inclusion-exclusion.
Let's break down the information given:
- Total members in the TriDelt chapter: 50 members
- Members taking mathematics: 20 members
- Members taking English: 32 members
- Members taking both mathematics and English: 6 members
To find the number of members who were not taking either subject, we need to subtract the total number of members taking mathematics, the total number of members taking English, and then add back the number of members taking both subjects. The formula is:
Total members not taking either subject = Total members - Members taking mathematics - Members taking English + Members taking both
Applying the formula to the given data:
Total members not taking either subject = 50 - 20 - 32 + 6
Total members not taking either subject = 54 - 52
Total members not taking either subject = 4
Therefore, there were 4 members who were not taking either mathematics or English in the TriDelt chapter.