Number of possible relations from the set A to set B, where $n (A) = 2, n (B) = 5$ is

1024.0

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01024

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1024

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Solution

Total number of possible relations from a set $A$ to set $B,$ , such that $n (A) = n & n (B) = m$ is $2^{n . m}$

Here $n = 2 and m = 5$
Hence, total number of relations will be $2^{2 \times 5} = 2^{10} = 1024$

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