To approach this problem, we can use a Venn diagram to visualize the information given:
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From the diagram, we can see that:
(i) The number of students who offer three subjects is the intersection of all three sets, which is 2.
(ii) The number of students who offer none of the subjects is four times the number of those who offer three subjects. So, if x is the number of students who offer three subjects, then the number of students who offer none is 4x. Hence, the number of students who offer none of the subjects is 4*2 = 8.
(iii) To find the number of students who offer only one subject, we can add up the individual sets (excluding the intersections): 35 + 43 + 50 = 128. Then we can subtract the students who offer two or three subjects: (14 + 13 + 11) + (2*3) = 44. Therefore, the number of students who offer only one subject is 128 - 44 = 84.
(iv) The number of students who offer history and geography is 14, which is the intersection of the history and geography sets.
Therefore, the answers are:
(i) 2 students offer three subjects
(ii) 8 students offer none of the subjects
(iii) 84 students offer only one of the subjects
(iv) 14 students offer history and geography.
in a class of 100 students, 35 offers history, 43 offers Geography and 50 offers economic, 14 students offers history and geography, 13 offers geography and economic and 11 offers history and economic. the number of students that offers none of the subjects is four times the number of those that offers three subjects.
(i) how many students offers three subjects
(ii) how many students offers none
(iii) how many student offer only one of the subjects
(iv) how many students offers history and Geography
3 answers
in a class of 100 students, 35 offers history, 43 offers Geography and 50 offers economic, 14 students offers history and geography, 13 offers geography and economic and 11 offers history and economic. the number of students that offers none of the subjects is four times the number of those that offers three subjects.
(i) how many students offers three subjects
(ii) how many students offers none
(iii) how many student offer only one of the subjects
(iv) how many students offers history and Geography
(i) how many students offers three subjects
(ii) how many students offers none
(iii) how many student offer only one of the subjects
(iv) how many students offers history and Geography
in a class of 100 students, 35 offers history, 43 offers Geography and 50 offers economic, 14 students offers history and geography, 13 offers geography and economic and 11 offers history and economic. the number of students that offers none of the subjects is four times the number of those that offers three subjects.
(i) how many students offers three subjects
(ii) how many students offers none
(iii) how many student offer only one of the subjects
(iv) how many students offers history and Geography
with the aid of a venn diagram
(i) how many students offers three subjects
(ii) how many students offers none
(iii) how many student offer only one of the subjects
(iv) how many students offers history and Geography
with the aid of a venn diagram