i dont understand what they are doing explain the symbols

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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i dont understand what they are doing explain the symbols
Given there are a total student of 66
students they have to study at least one of
three subjects-Mathematics, Physics and
Economics.
that is (MUPUE) = 66.
Explanation
Please refer to solution in this step.
Step 2/3
Out of these, 28 students did not choose
either Physics or Economics;
that is M = 28.
15student did not choose either
Mathematics or Economics;
that is P = 15.
Economics student are present in school.
E = 66 − (P + M)
(MUP) = 45, (PUE) = 30
66 − (15 +28) = 23
(MP) = M+P − (MUP)
(MP) = 28 + 15 - 45 : -2.
similarly;
=
=
(PNE) = P + E — (PUE) = 15+23 -
(PNE) = 8.
Transcribed Image Text:Given there are a total student of 66 students they have to study at least one of three subjects-Mathematics, Physics and Economics. that is (MUPUE) = 66. Explanation Please refer to solution in this step. Step 2/3 Out of these, 28 students did not choose either Physics or Economics; that is M = 28. 15student did not choose either Mathematics or Economics; that is P = 15. Economics student are present in school. E = 66 − (P + M) (MUP) = 45, (PUE) = 30 66 − (15 +28) = 23 (MP) = M+P − (MUP) (MP) = 28 + 15 - 45 : -2. similarly; = = (PNE) = P + E — (PUE) = 15+23 - (PNE) = 8.
explain simply
There are a total of 66 students in a school. They
have to study at least one of three subjects
Mathematics, Physics and Economics. Out of these,
28 students did not choose either Physics or
Economics; 15 students did not choose either
Mathematics or Economics; 45 students did not
choose Economics; and 30 students did not choose
Mathematics. The number of students who did not
choose either Mathematics or Economics exceeded
the number of students who did not choose
Mathematics or Physics by 2. If 5 students chose all
three subjects, how many students chose both
Economics and Mathematics?
(A) 1
(B) 5
(C) 6
(D) 7
(E) 10
Transcribed Image Text:explain simply There are a total of 66 students in a school. They have to study at least one of three subjects Mathematics, Physics and Economics. Out of these, 28 students did not choose either Physics or Economics; 15 students did not choose either Mathematics or Economics; 45 students did not choose Economics; and 30 students did not choose Mathematics. The number of students who did not choose either Mathematics or Economics exceeded the number of students who did not choose Mathematics or Physics by 2. If 5 students chose all three subjects, how many students chose both Economics and Mathematics? (A) 1 (B) 5 (C) 6 (D) 7 (E) 10
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