In a committee of 30 members, 3 members speak neither Yoruba nor Igbo, 27 members speak at least one language, and 19 members speak only one language.
Given a committee of 30 members, we need to apply the principles of set theory to answer the language preference questions. We know that 20 members speak Yoruba, 15 speak Igbo, and 8 members speak both Yoruba and Igbo. To ensure everyone is included, we analyze their language skills.
How many members speak neither language?
To determine this, we use the formula for the principle of inclusion and exclusion: Total = Speak Yoruba + Speak Igbo - Speak both. Subtracting the 8 who speak both from the total who speak Yoruba and Igbo, we have 20+15-8 = 27 members who speak at least one language.
Therefore, members who speak neither language: 30 (Total members) - 27 (Members who speak at least one language) = 3 members.
How many members speak at least one language?
As calculated above, 27 members speak at least one language.
How many members speak only one language?
Members who speak only one language = Those who speak at least one - Those who speak both. This gives us 27 - 8 = 19 members who speak only one language.
The probable question may be:
In a committee of 30 members, 20 speak Yoruba, and 15 speak Igbo. There's a wonderful cultural exchange program planned, and 8 members speak both Yoruba and Igbo. To ensure everyone feels included, let's explore their language preferences.
Additional Information:
The committee members have diverse linguistic interests, and some are multilingual. Of the 30 members, 8 individuals proudly speak both Yoruba and Igbo, showcasing their rich cultural heritage. There's a warm camaraderie among those who speak at least one language, fostering an environment of inclusivity.
Now, the question arises:
How many members speak neither language?
How many members speak at least one language?
How many members speak only one language?