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

Which is a characteristic of civilization? bronze tools and weapons an army art and literature government
compare and contrast the sister relationship between anna and kate
How do the functions of individual cells compare with those of organisms? I NEED HELP! PLEASE!
which of these is a personal tragedy Edgar Allan Poe experienced? a. his brother was killed in the war b. his young wife died of tuberculosis c. his father wa
25 tens equal how much ? also what does 63 tens equal?
Kimmys savings account has a balance of $76.23 in june. By September, her balance is 5 times as much as her June balance. Between September and December, Kimmy
what is 150% of 18 ?
what is 1/2 + 9/10 + m + n=2?
a book had a length of 5 inches and a width of 8 inches what is the perimeter of the book
Which of the following is NOT a method that Sigmund Freud used while trying to understand his patients' unconscious processes? a. introspection b. case studies