# Ukendوالwhere mis a prime number)24 = m + 1Which is not true for all composite number, say for x = 4 because24 = 16

###### Question:

Ukend وال
where mis a prime number)
24 = m + 1
Which is not true for all composite number, say for x = 4 because
24 = 16 which can not be equal to the sum of any prime number m and 1.
Thus, we arrive at a contradiction
VES
Thus, when x e P, we arrive at xe S
So SCP
Example 13 From 50 students taking examinations in Mathematics. Per
Chemistry, each of the student has passed in at least one of the subject, I ach dem
Mathematics, 24 Physics and 43 Chemistry. At most 19 passed Mathema Shua tume na
Physics, at most 29 Mathematics and Chemistry and at most 20 Physics and cha
What is the largest possīble number that could have passed all three extended
Solution Let M be the set of students passing in Mathematics

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