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All the words in the Snowman language consist of exactly seven letters formed from the letters {s, no, wm, an} arranged in some order where the paired letters cannot be separated. For example "snonono" and "sssanwm" are words in the language but "sssmwan" and "sssawmn" are not. How many words are there in the Snowman language?

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Answer:

24

Step-by-step explanation:

Imagine s is 1, no is 2, wm is 3, and an is 4.

If you look at all the possible ways to orginaze the numbers starting with one you get 6;

1234

1243

1324

1342

1432

1423

you then need to multiply this by the amount of numbers that could be in the start; which is four; 1, 2, 3, and 4. So, six ways to orginaze multiplied by 4 numbers is 24.

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