Math, asked by Anonymous, 7 months ago

Pleaseeeeeeeeeeee solve this.​

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Answered by Anonymous
1

 \small  \tt ❥given \: two \: sets \: A \: and \: B \: have \: 9 \: elements \: in \: common

 \small \tt we \: know \: that \: n((A \times  B)n( B \times A)) \\= n((An B) \times ( BnA))

 \small  \tt  \therefore n((A  \times B)n( B  \times A)) = n((A n B) \times (B nA)) \\  = n(A n B).n(BnA) \\  = n(A n B).n(A n B) \\  = 9 \times 9 =  {9}^{2}

 \tt hence \: option \:  \boxed{ \tt 3) \:  {9}^{2} is \:  ✅}

Answered by pearlprincess48
1

Answer:❥given : two sets A and B have 9 elements common ❥given two sets A and B have 9 elements in common

we know that n (A times B)n( B times A)= n((An B) \times ( BnA)

we know that n((A×B)n(B×A))

=n((AnB)×(BnA))

therefore n((A \times B)n( B \times A)) = n((A n B) \times (B nA)) = n(A n B).n(BnA) = n(A n B).n(A n B) = 9 \times 9 = {9}^{2}

∴n((A×B)n(B×A))=n((AnB)×(BnA))

=n(AnB).n(BnA)

=n(AnB).n(AnB)

=9×9=9

2

hence option boxed {9}^{2} ✅}hence option

3)9

2

is✅

Hope it helps...

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