Question

Let S = {1,2,3,4,5,6,7,8,9} and A = {2,3,4,5,6}. Then the number of subsets B of S such that
A Δ B = {5]

Answer 1

Answer:

no the correct answer is 1 subset

Answer 2

$2^{4}$  

Given:

X={1,2,3,4,5,6,7,8,9}

and A={2,3,4,5,6,}

Now, A−B={5}

⇒B=A−{4}={2,3,4,5,6}−{5}

={2,3,4,6}

∴X−{5}−B

={1,2,3,4,5,6,7,8,9}−{5}−{2,3,4,6}

={1,7,8,9,}

Hence ,number of subsets B of X i.e., {1,7,8,9,}. =$2^{4}$  

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