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In: Advanced Math

How many permutations of the letters ABCDEFGHIJKLM do not contain the strings “BAD” or “DIG” or...

How many permutations of the letters ABCDEFGHIJKLM do not contain the strings “BAD” or “DIG” or “CLAM” consecutively? (Hint: Inclusion-exclusion and subtraction).

**I KNOW THE ANSWER IS NOT 13! - 11! - 11! - 10! ** - please do not give that as one.

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