8. Consider n-digit numbers where each digit is one of the 10 integers 0, 1,..., 9. How...
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8. Consider n-digit numbers where each digit is one of the 10 integers 0, 1,..., 9. How many such numbers are there for which
(a) no two consecutive digits are equal;
(b) 0 appears as a digit a total of i times, i = 0,..., n?
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