Let \(A\) and \(B\) be the sets having only 2 and 3 elements respectively. What is the total number of mappings from \(A\) to \(B\)?
9
Each of the 2 elements of \(A\) can be mapped independently to any of the 3 elements of \(B\). By the multiplication principle, the total number of mappings (functions) from \(A\) to \(B\) is \(3^{2}=9\).
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The number of non-negative integers less than 1000 that contain the digit 1 are:
