![]() ![]() ![]() Relationship Between Onto Function and One-to-One Function Thus, the total number of onto functions is 2 m - 2.And, out of these functions, 2 functions are not onto, if all elements are mapped to the 1 st element of B or all elements are mapped to the 2 nd element of B.From a set of m elements in A to the set of 2 elements in B, the total number of functions will be 2 m.If A has m elements and B has 2 elements, then the number of onto functions will be 2 m - 2. Let us see how to find the number of onto functions using an example. ![]() if n = m, number of onto functions = m!Įxample to Calculate Number of Onto Functions:.But if m < n, then the number of onto functions will be 0 as it is not possible to use all the elements of B. We need to note that this formula will work only if m ≥ n. If A has m elements and B has n elements, then the total number of onto functions can be calculated using the formula, In onto function from A to B, we need to make sure that all the elements of B are used. There is a formula to find the number of onto functions from one set to another.
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