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How many permutations of the letters ABCDEFGH contain: a) the string ED? b) the string CDE? c) the strings BA and FGH? d) the strings

How many permutations of the letters ABCDEFGH contain:

a) the string ED?

b) the string CDE?

c) the strings BA and FGH?

d) the strings AB, DE, and GH?

e) the strings CAB and BED?

f) the strings BCA and ABF?

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