Concept explainers
In Exercises 45-72, use permutations, combinations, the fundamental counting principle, or other counting methods, as appropriate.
Building Numbers from Sets of Digits Recall that the counting numbers are
1, 2, 3, 4, ….
(a) How many six-digit counting numbers use all six digits 4, 5, 6, 7, 8, and 9?
(b) Suppose all these numbers were arranged in increasing order:
456,789; 456,798; and soon.
Which number would be 364th in the list?
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