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Find the number of unique permutations of the word ALGEBRA.

User Encore PTL
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Final answer:

The number of unique permutations of the word ALGEBRA is 2520.

Step-by-step explanation:

The number of unique permutations of the word ALGEBRA can be found using the formula for permutations of a word with repeated letters. The word ALGEBRA has 7 letters, out of which A appears twice and B appears twice. So, the number of unique permutations is given by 7!/2!2!. This simplifies to 7x6x5x4x3x2x1/2x1x2x1, which equals 2520. Therefore, there are 2520 unique permutations of the word ALGEBRA.

User Abdelrahman
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