MusicalGirl3747 MusicalGirl3747
  • 02-04-2021
  • Mathematics
contestada

Ashlee was born on 12/24/2002. How many eight-digit codes could she make using the digits in her birthday?

Respuesta :

fichoh
fichoh fichoh
  • 03-04-2021

Answer:

840

Step-by-step explanation:

Given the date:

Birth date = 12/24/2002

Number of digits = 8 = 8! = (8*7*6*5*4*3*2*1) = 40320

Repeated digits :

digit 2 = 4 times = 4! = (4 * 3 *2 * 1) = 24

digit 0 = 2 times = 2! = 2*1 = 2

Therefore the number of 8 digit codes that can be formed is :

8! / (4! * 2!)

40320 / (24 * 2)

40320 / 48

= 840

Hence, 840 8 digit codes can be formed

Answer Link

Otras preguntas

who signed the declaration of independence?
A cone is cut by a plane parallel to the slant height of the cone. What is the shape of the cross section that is formed?
To obtain political rights, plebeians formed their own assembly called:
Which of the following statements about irony is false? a. irony is a difference between appearances and reality. b. verbal irony is when there is a differenc
how to answer part d) ??
a car is priced at $12000. which is the better deal 10% off or $1500 cash back
An EVEN number of negative signs results in a:__________________
Climate is influenced by temperature and _______. a. snow only b. vegetation c. all forms of precipitation d. rain only
what is 10000*666666
if an atom has 3 protons, 3 neutrons, and 2 electrons, what is the electrical charge of the atom?