competitive examination, 250 students have registered. Out of these, 50 students have registered for Physics, 75 students for Mathematics and 35 students for both Mathematics and Physics. What is the number of students who have registered neither for Physics nor for Mathematics ?
Answers
Answer:
Step-by-step explanation:
students registered neither for Physics nor for Mathematics is 160
Step-by-step explanation:
given data
total students = 250
registered for Physics = 50
registered for Mathematics = 75
registered for both Mathematics and Physics = 35
to find out
students who have registered neither for Physics nor for Mathematics
solution
registered for Physics
50 students registered for Physics but here but 35 of them also registered for Mathematics
so only registered for Physics is = 50 - 35
only registered for Physics = 15
and
75 students registered for Mathematics but here but 35 of them also registered for physics
so only registered for Mathematics is 75 - 35
only registered for Mathematics = 40
so here student registered for either Mathematics and Physics is
student registered for either Mathematics and Physics = 15 + 40 = 55
and
student registered for both = 35
and
students registered for at least one subject = 55 + 35 = 90
so
students registered neither for Physics nor for Mathematics is = 250 - 90
students registered neither for Physics nor for Mathematics is 160
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