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Use the inclusion-exclusion principle to determine (a) how many arrangements of length n there are of the letters a, b, c (repetitions allowed) with each

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Use the inclusion-exclusion principle to determine (a) how many arrangements of length n there are of the letters a, b, c (repetitions allowed) with each letter occurring at least once. (b) the number of ways to distribute 26 identical balls into six distinct containers with at most six balls in any of the first three containers

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