How Many Permutations of All 26 Letters of the Alphabet

question 101

Short Answer

How many permutations of all 26 letters of the alphabet are there that contain at least one of the words CART, SHOW, LIKE?

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Definitions:

Distinguish Appearance

The ability to recognize and differentiate individuals or objects based on their visual characteristics or outward form.

Costume

A costume is a set of clothes worn to portray a particular character or identity, often used in performances, festivals, or themed events.

Formal Operations

In Piaget’s terms, mental operations in which all possible combinations are considered in solving a problem. Consequently, each partial link is grouped in relationship to the whole; in other words, reasoning moves continually as a function of a structured whole.

Appearance/Reality Distinctions

The cognitive ability to differentiate between how things appear and how they actually are.