How Many Permutations of the 26 Letters of the Alphabet

question 107

Short Answer

How many permutations of the 26 letters of the alphabet are there that do not contain any of the following strings: LOP, SLOP, SLOPE, LOPE.

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Definitions:

TC

Assuming it refers to "Therapeutic Community," a treatment approach that involves a structured, group living environment where individuals help each other work through substance abuse or behavioral issues, otherwise, NO.

Residential Types

Various categories of housing or accommodation, differing by levels of care, amenities, and services provided.

Treatment Resembles

Refers to the similarity or analogy between the process of medical or therapeutic care and another process, context, or concept.

Substance-induced Disorder

A mental disorder caused directly by the physiological effects of a substance, such as drug abuse, medication, or toxin exposure.