find the total no. or function from the set A=(1,2,3,4) to the set B = (a,b,c) ?
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A={1,2,3,4} and B={a,b,c}
Let number of elements of A be r and number of elements of B be m.
⇒ Number of elements of set A=r=4
⇒ Number of elements of set B=n=3
Here, we can see r>n.
One-one function is only possible from A to B if number of elements in B is greater than number of elements in A.
∴ The total number of one-one function from A to B is 0.
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