Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

how many ways can the letters in the word PARALLEL be arrangedsolution to use : distinguishable permutation

Sagot :

We have to calculate in how many ways can the letters in the word PARALLEL be arranged.

We start by listing the unique letters and how many times each one appear in the word.

We have one P, two A's, one R, three L's and one E, for a total of 8 letters.

We then can express this as a permutation like this:

[tex]\begin{gathered} P=\frac{N!}{\sum n_i!} \\ P=\frac{8!}{2!3!}=\frac{40320}{2\cdot6}=3360 \end{gathered}[/tex]

NOTE: "ni" is the number of repetitions of each letter that repeats more than one time. In this case, we have two A's and three L's.

Answer: there are 3360 permutations.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.