Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

in how many ways can the digits number 8,622,222 be arranged?

Sagot :

The given number is : 8,622,222

Since, there are 7 digits total, Normally the arrangenments of 7 distinct elements are 7!

But in the given number, there are five 2 digit number and one 8 digit number as well as one 6 digit number

From the properties of Permutation: The arrangement of p and q similar elements out of total n elements the arrangements are : n!/p! q!

[tex]\begin{gathered} \text{ Permutation of 8622222=}\frac{7!}{5!} \\ \text{ Permutation of 8622222=}\frac{7\times6\times5!}{5!} \\ \text{ Permutation of 8622222=}\frac{7\times6\times1}{1} \\ \text{ Permutation of 8622222=}42 \end{gathered}[/tex]

Arrangements of 8,622,222 digits are 42

Answer : 42 arrangements

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.