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 sentence contains a metaphor? A. When Max opened the door, a lightning bolt of fur and claws streaked out. B. The snow fell as wildly as stuffing from a b
PLZZZ HELP!!! I’m confused on this question
Frank needs 3.6 meters of ribbon to wrap gifts for friends this year. If each spool contains 90 cm of ribbon,how many spools will Frank need to purchase?
Tristan wants to build a square garden in his backyard. If the garden is going to be 64 square feet, how many feet of material will he need for the perimeter of
need help not sure ​
Why don’t vegetable oil and water mix?
The earth's orbit is oval in shape. Explain how the magnitude of the gravitational force between the earth and the sun changes as the earth moves from position
in world war 2 who won the cilvar war in 1700s
For 2, use the relationship between the values of the digits to solve Write a number in which the value of the 3 is ten times greater than the value of the 3 in
Simplify 9 - {x - (7 + x)}. 16 -2x + 2 -2x + 16 2x + 2