Answer This Question, You Can\text{Answer This Question, You Can}

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In English, most sentences follow a specific word order: SUBJECT\color{red}{\text{SUBJECT}}-VERB\color{green}{\text{VERB}}-OBJECT\color{blue}{\text{OBJECT}}. This is a general way of representing the different parts that make up a sentence. The SUBJECT\color{red}{\text{SUBJECT}} of a sentence is the main focus of the sentence—typically the person that performs some action. The VERB\color{green}{\text{VERB}} of a sentence is the action happening in the sentence. The OBJECT\color{blue}{\text{OBJECT}} of a sentence is whatever is acted on. A sentence can also have other components in any order.

Let’s define a Yoda sentence as a sentence that does not have SUBJECT\color{red}{\text{SUBJECT}}-VERB\color{green}{\text{VERB}}-OBJECT\color{blue}{\text{OBJECT}} order.

For example, these are valid Yoda Sentences (with other components italicized):

Patience\color{blue}{\text{Patience}} you\color{green}{\text{you}} must have\color{red}{\text{must have}}, my young padawan.

Mind what you have learned. Save\color{green}{\text{Save}} you\color{blue}{\text{you}} it\color{red}{\text{it}} can\color{green}{\text{can}}.

Much to learn\color{blue}{\text{Much to learn}} you\color{red}{\text{you}} still have\color{green}{\text{still have}}, my old padawan.

While this is not:

Do or do not, there\color{red}{\text{there}} is\color{green}{\text{is}} no try\color{blue}{\text{no try}}.

Suppose you are given a sentence with nn components, 33 of which are exactly a SUBJECT\color{red}{\text{SUBJECT}}, a VERB\color{green}{\text{VERB}}, and an OBJECT\color{blue}{\text{OBJECT}}. Assuming the other components can appear in any order and still be grammatically correct, how many valid Yoda sentences are there using these components?

Choose one answer

Type a concept, like “slope” or “photosynthesis”.

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