Question: 4. Consider the multiset X = fa, a, b, b, c, c, d, d, d, d, d, e, elf. a) How many arrangements are possible,

4. Consider the multiset X = fa, a, b, b, c, c,
4. Consider the multiset X = fa, a, b, b, c, c, d, d, d, d, d, e, elf. a) How many arrangements are possible, using all elements of X? b) How many arrangements have all vowels preceeding all consonants? c) How many arrangements contain ebc? (For instance: decbeaabdddde does but decbacabdddde does not.)

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