Answer:
Explanation:
a) To find the number of students who take both Biology and Economics, we can use the principle of inclusion-exclusion. Start with the total number of students in the class (50), subtract the number of students who study neither subject (15), then add back the number of students who study both subjects (since they were double-counted when subtracting those who study neither).
Therefore, the number of students who take both Biology and Economics is: 50 - 15 + 8 = 43.
b) To find the number of students who take Biology only, subtract the number of students who take both Biology and Economics from the total number of students who study Biology.
Therefore, the number of students who take Biology only is: 30 - 43 = 13.
c) To find the number of students who take Economics only, subtract the number of students who take both Biology and Economics from the total number of students who study Economics.
Therefore, the number of students who take Economics only is: 25 - 43 = -18.
Since we cannot have a negative number of students, it means that there is an error in the given information or calculation. Please double-check the data provided to clarify this discrepancy.
Regarding the second question:
a) To find the number of committee members who speak neither Yoruba nor Igbo, we start with the total number of committee members (30) and subtract the number of members who speak Yoruba, members who speak Igbo, and members who speak both languages.
Therefore, the number of committee members who speak neither language is: 30 - 20 - 15 + 8 = 3.
b) To find the number of committee members who speak at least one language, we add the number of members who speak Yoruba, members who speak Igbo, and members who speak both languages.
Therefore, the number of committee members who speak at least one language is: 20 + 15 + 8 = 43.
c) To find the number of committee members who speak only one language, we subtract the number of members who speak both languages from the total number of members who speak at least one language.
Therefore, the number of committee members who speak only one language is: 43 - 8 = 35.