Let be the set of all seven-digit numbers that can be formed using the digits 0, 1 and 2

MATHEMATICS · Subjective · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

Let SS be the set of all seven-digit numbers that can be formed using the digits 0, 1 and 2. For example, 2210222 is in SS, but 0210222 is NOT in SS. Then the number of elements xx in SS such that at least one of the digits 0 and 1 appears exactly twice in xx, is equal to ____.

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