25.3k views
5 votes
Find the number of unique permutations of the word ALGEBRA.

User Encore PTL
by
6.6k points

1 Answer

5 votes

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
by
6.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.