Question

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

Answer 1

Answer:105

Explanation:

Answer 2

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!

`\begin{gathered} \text{ Permutation of 8622222=}(7!)/(5!) \\ \text{ Permutation of 8622222=}(7*6*5!)/(5!) \\ \text{ Permutation of 8622222=}(7*6*1)/(1) \\ \text{ Permutation of 8622222=}42 \end{gathered}`

Arrangements of 8,622,222 digits are 42

Answer : 42 arrangements