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

Help on logarithmic equation
Which of these was a direct consequence of the Civil War? the disintegration of the Whig Party the addition of new states to the Union the use of popular sovere
In which two regions did the Eisenhower administration effectively use brinkmanship? Korea and Indochina Vietnam and Cuba Russia and Poland France and Germany
question number 1)8m 12cm=_cm
Wen Ti, an emperor of the _______ dynasty, looked to the Han dynasty for methods of control and order. Sui Tang Song Yuan
compare and contrast volume and surface area
1.)how did the umayyads unite the muslim states 2.)what problems caused the umayyads to lose the support of many people in the empire 3.)how did the abbasids
How to turn mixed numbers into decimals? For example 1/20
What is bigger 3/6 or 4 /10
What is produced when prokaryotes break down sewage