A class of 50 took an examination in Algebra and Statistics. If 36 passed Algebra, 42 passed Statistics, and 8 failed in both subjects, then what is the number of students who passed the two subjects? Solution: S 100 U

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4. A class of 50 took an examination in Algebra and Statistics. If 36 passed Algebra, 42 passed Statistics, and 8
failed in both subjects, then what is the number of students who passed the two subjects?
Solution:
Solution: M = 22
C = 25
U
MUC = 45
. If M is a set of 22 Mathematics teachers and C is the set of 25 Computer teachers, and if 2 teachers teach
both Mathematics and Computer, how many elements has MUC?
A
U
M
S
20
C
(2/23
Transcribed Image Text:4. A class of 50 took an examination in Algebra and Statistics. If 36 passed Algebra, 42 passed Statistics, and 8 failed in both subjects, then what is the number of students who passed the two subjects? Solution: Solution: M = 22 C = 25 U MUC = 45 . If M is a set of 22 Mathematics teachers and C is the set of 25 Computer teachers, and if 2 teachers teach both Mathematics and Computer, how many elements has MUC? A U M S 20 C (2/23
8. Of the three student organizations in a school, fifty students were asked if they belong to any of these
organizations and the following data were gathered from the survey.
7 belong to Science Club only
20 belong to Math Club
23 belong to Computer Club
5 belong to Computer Club and Science Club but not to Math Club
8 belong to Computer Club and Math Club but not to Science Club
14 belong to Math Club but not Science Club
15 belong to Computer Club but not to Science Club.
Fill out the Venn diagram to determine the number of students who
a. belong to Math Club only
b. do not belong to Math Club
c. belong to Science Club and Math Club but not
to Computer Club
d. belong to exactly one organization
e. do not belong to any of these organization
SC
ㅋ
4
50
X'
CC
23
MC
20
Transcribed Image Text:8. Of the three student organizations in a school, fifty students were asked if they belong to any of these organizations and the following data were gathered from the survey. 7 belong to Science Club only 20 belong to Math Club 23 belong to Computer Club 5 belong to Computer Club and Science Club but not to Math Club 8 belong to Computer Club and Math Club but not to Science Club 14 belong to Math Club but not Science Club 15 belong to Computer Club but not to Science Club. Fill out the Venn diagram to determine the number of students who a. belong to Math Club only b. do not belong to Math Club c. belong to Science Club and Math Club but not to Computer Club d. belong to exactly one organization e. do not belong to any of these organization SC ㅋ 4 50 X' CC 23 MC 20
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