Question:
The number of onto functions from A = {a, b, c} to B = {1, 2, 3, 4} is __________.
Solution:
Given: A function from A = {a, b, c} to B = {1, 2, 3, 4}
If a function from $A$ to $B$ is onto, then number of elements of $A \geq$ number of elements of $B$.
But here, number of elements of $A<$ number of elements of $B$
Thus, no onto function exist from A = {a, b, c} to B = {1, 2, 3, 4}.
Hence, the number of onto functions from A = {a, b, c} to B = {1, 2, 3, 4} is 0.
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