If A - 1- 2- 3 and B - 4- 5- then A- B- -

The Cartesian product of sets A and B is defined as: nbsp; nbsp; nbsp;A× B={(a,b): a∈ A,b ∈ B} ⇒ A nbsp;× nbsp;B = {(1, 4), (1, 5), (2, 4), (2, 5), ...

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Byju's Answer

Standard XI

Mathematics

Number of Elements in a Cartesian Product

If A = 1, 2, ...

Question

If $A = {1, 2, 3}$ and $B = {4, 5},$ then $A \times B =$ ___.

${(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}$

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${(4, 1), (4, 2), (4, 3), (5, 1), (5, 2), (5, 3)}$

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${(1, 2), (1, 3), (2, 3), (4, 5)}$

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${(1, 4), (1, 5), (2, 4), (2, 5)}$

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Solution

The correct option is A
${(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}$

The Cartesian product of sets A and B is defined as:
$A \times B = {(a, b) : a \in A, b \in B}$
$\Rightarrow A \times B = {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}$

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If $A = {1, 2, 3}$ and $B = {4, 5},$ then $A \times B =$ ___.

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If A={1,2,3} and B={4,5}, then A×B= ___.

The correct option is A {(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)} The Cartesian product of sets A and B is defined as: A×B={(a,b):a∈A,b∈B} ⇒A×B={(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)}

If $A = {1, 2, 3}$ and $B = {4, 5},$ then $A \times B =$ ___.

The correct option is A
${(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}$

The Cartesian product of sets A and B is defined as:
$A \times B = {(a, b) : a \in A, b \in B}$
$\Rightarrow A \times B = {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}$