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If A={1, 2, 4} and B={a, b} Find the total number of relations

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If $A = 1, 2, 4$ and $B = a, b$ Find the total number of relations from A to B.

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A = 1, 2, 4

and

B = a, b

Find the total number of relations from A to B.

7 mins ago

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Text solutionVerified

Given:

A = {1, 2, 4}

and

B = {a, b}

Number of relations from

A

B = 2^{n u mb er o f e l e m e n t s in A \times B}

= 2^{n u mb er o f e l e m e n t s in A \times n u mb er o f e l e m e n t s in B}

= 2^{n (A) \times n (B)}

Number of elements in set

A = 3

Number of elements in set

B = 2

Number of relations from

A

B = 2^{n (A) \times n (B)}

= 2^{3 \times 2} = 2^{6} = 64

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Question Text	If $A = 1, 2, 4$ and $B = a, b$ Find the total number of relations from A to B.
Answer Type	Text solution:1
Upvotes	150