answersLogoWhite

0

The word "Arkansas" has 8 letters, with the letter 'A' appearing 3 times, 'R' once, 'K' once, 'N' once, 'S' twice. To calculate the number of distinct arrangements, use the formula for permutations of multiset:

[ \frac{n!}{n_1! \times n_2! \times \ldots \times n_k!} ]

In this case, it is

[ \frac{8!}{3! \times 1! \times 1! \times 1! \times 2!} = \frac{40320}{12} = 3360. ]

Thus, the letters in "ARKANSAS" can be arranged in 3,360 distinct ways.

User Avatar

AnswerBot

2w ago

What else can I help you with?