in a committee of 30 members, 20 speak yoruba and 15 speak igbo. if 8 speak both languages, how many speak : a) neither language b) at least one language c) only one language
a) To find the number of members who speak neither language, we first need to find out how many members speak at least one language.
There are 20 members who speak Yoruba, 15 who speak Igbo, and 8 who speak both. Since these 8 are counted twice (once in Yoruba and once in Igbo), we subtract 8 from the total (20+15) to get the number of members who speak at least one language. So, 20 + 15 - 8 = 27 members speak at least one language. Since there are 30 members in total, 30 - 27 = 3 members speak neither language.
b) As calculated above, 27 members speak at least one language.
c) To find the number of members who speak only one language, we subtract the number of members who speak both languages from the total number of members who speak each language. For Yoruba, there are 20 members, so 20 - 8 = 12 members speak only Yoruba. For Igbo, there are 15 members, so 15 - 8 = 7 members speak only Igbo. Therefore, 12 + 7 = 19 members speak only one language.