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The image contains a question, although it is upside down. From the visible part, the text reads:

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**"Q.35 If all the words using the letters of the word TREATY are arranged as in the dictionary, what will be the 123rd, 182nd, and 303rd words?"**

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This appears to be a combinatorics problem where we need to determine the order of specific permutations of the letters in the word "TREATY" when arranged alphabetically. There are 6 letters in "TREATY," with some repetition because "T" appears twice.

Would you like me to solve this problem by finding the 123rd, 182nd, and 303rd permutations based on the dictionary order of the word "TREATY"?

Let me know if you have any specific questions or if you'd like details. Here's a related set of questions to think about:

1. How do you calculate permutations when letters are repeated?
2. What is the total number of unique permutations of the word "TREATY"?
3. What method can be used to systematically find a specific permutation?
4. How does the arrangement of letters change if the word has more than one repeated letter?
5. Can this problem be solved using combinatorics formulas or algorithms?

**Tip:** A useful technique in such problems is using **factorial divisions** to account for repeated letters.

If all the words using the letters of the word TREATY are arranged as in the dictionary, what will be the 123rd, 182nd, and 303rd words?

Solve a combinatorics problem involving the permutations of the word TREATY. Learn how to find the 123rd, 182nd, and 303rd words when arranged in dictionary order, using factorials and permutation concepts. Suitable for high school students.

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