Let A and B be two sets. The number of relations from A to B with |A| = 4 and |B| = 3 isa. 2049.00b. 4096.00c. 2048.00d. None of the Option is correcte. 4095.00
Question
Let A and B be two sets. The number of relations from A to B with |A| = 4 and |B| = 3 isa. 2049.00b. 4096.00c. 2048.00d. None of the Option is correcte. 4095.00
Solution
The number of relations from a set A to a set B is given by the formula 2^(|A| * |B|), where |A| and |B| are the cardinalities (sizes) of the sets A and B, respectively.
Given that |A| = 4 and |B| = 3, we can substitute these values into the formula:
2^(4 * 3) = 2^12 = 4096.00
So, the correct answer is b. 4096.00.
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