The local seven-digit telephone numbers in city a have 291 as the first three digits. how many different telephone numbers are possible in city a?

Respuesta :

The total number of different telephone numbers are possible in city  is 6561.

What is permutation?

A term permutation relates to a mathematical process that determines the number of possible arrangements of a given set.

  • Simply put, a permutation is a term that refers to the number of different ways something can be ordered as well as arranged.
  • The sequence of the arrangement is important in permutations.

Now, according to the question;

Because the first three digits are fixed, we must select the next four digits.

A total number of available telephone numbers is increased by selecting one of nine numbers for the fourth digit;

nine numbers for the fifth digit;

nine numbers for the sixth digit;

and nine numbers for the seventh digit.

Thus,

= 9×9×9×9

= 6561

Therefore, the total number of ways in which telephone numbers are possible in city are 6561.

To know more about the permutation, here

https://brainly.com/question/12468032

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