If A = {x : x ≤ 10 and x ∈ N}, B = {2} and C = {7} and S is a subset of A such that n(S ∩ B) = 1 and n(S ∩ C) = 0, how many such subsets are possible?

Question

If A = {x : x ≤ 10 and x ∈ N}, B = {2} and C = {7} and S is a subset of A such that n(S ∩ B) = 1 and n(S ∩ C) = 0, how many such subsets are possible?
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Solution 1

The problem is asking for the number of subsets, S, of set A that intersect with set B in exactly one element and do not intersect with set C at all.

Step 1: Define the sets Set A = {x : x ≤ 10 and x ∈ N} is the set of natural numbers less than or equal to 10. So, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 1 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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