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find the number of permutation and combination of 4 letters taken from the word ARYABHATTA

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To solve the problem of finding the number of permutations and combinations of 4 letters taken from the word "ARYABHATTA", we will break it down into different cases based on the repetition of letters. ### Step-by-Step Solution: 1. **Identify the Unique Letters and Their Frequencies:** - The word "ARYABHATTA" consists of the letters: A (4 times), T (2 times), R (1 time), Y (1 time), B (1 time), H (1 time). - Unique letters: A, T, R, Y, B, H. ...
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