Consider the set of integers A defined as: {x∣1 ≤ x ≤ 123,n not divisible by 2,3 or 5} What is the cardinality of the power set of this set?a)233b)237c)228d)240Correct answer is option 'A'. Can you explain this answer?

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Consider the set of integers A defined as: {x∣1 ≤ x ≤ 123,n not divisible by 2,3 or 5} What is the cardinality of the power set of this set?

a)
2³³
b)
2³⁷
c)
2²⁸
d)
2⁴⁰

Correct answer is option 'A'. Can you explain this answer?

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Consider the set of integers A defined as: {x∣1 ≤ x ≤ 123,n not divis...

Let X: items divisible by 2,Y: divisible by 3,z: divisible by 5 So, total number of elements in the set

X + Y + Z − (X∩Y) − (X∩Z) − (Y∩Z) + (X∩Y∩Z) Calculate this, it would come out to be 33 . Now, the power set is just 2ⁿ where n is the number of elements here 33. Hence, the answer 2³³

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Consider the set of integers A defined as: {x∣1 ≤ x ≤ 123,n not divisible by 2,3 or 5} What is the cardinality of the power set of this set?a)233b)237c)228d)240Correct answer is option 'A'. Can you explain this answer?

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