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Question 13 : Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosing physics as one of their subjects is 25. The smallest possible number of students who could choose chemistry as one of their subjects is
We need to have M∩C and P∩C
as small as possible.
Then Need to keep only M∩P as high as possible = 5
Smallest possible number of students choosing chemistry = 18 + 2 = 20
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