In a school with 727 students, 600 students offer Mathematics and 173 students both mathematics and Physics. How many students are enrolled in i) Physics ii) Maths only. answer in terms of sets
Answers
Given : In a school with 727 students, 600 students offer Mathematics and 173 students both mathematics and Physics.
To find : How many students are enrolled in i) Physics ii) Maths only.
Solution:
Total Students T = 727
Mathematics M = 600
Physics P = ?
Mathematics & Physics M ∩ P = 173
Studying None N = 0 ( assuming)
T = M + P - M ∩ P + N
=> 727 = 600 + P - 173 + 0
=> P = 300
Students enrolled in Physics = 300
Maths only = M - M ∩ P
= 600 - 173
= 427
Students enrolled in Physics = 300
Students enrolled in Maths only = 427
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Answer:
Answer is 427
Step-by-step explanation:
Given
solution
Total students T =727
Mathematics M=600
physics p=?
Mathematics and physics M AND P =173
STUDING none N=0
T=M+P-M AND P
727 =600 +P
P=600+P-173+0
P=300
NATHS ONLY M-M P
600-17
427