monorama
monorama monorama
  • 14-07-2020
  • Mathematics
contestada

Find the number of 4-digit numbers that contain exactly two even and two odd digits.

Respuesta :

carmenvalladares1229
carmenvalladares1229 carmenvalladares1229
  • 14-07-2020

Answer:

There are six possible forms of 4-digit numbers consisting of two odd digits and two even digits:

OOEE

OEOE

OEEO

EEOO

EOEO

EOOE

Each of the three forms starting with (O)dd digits can form 5^4 = 625 numbers, since there are 5 odd and 5 even digits.

Each of the three forms starting with (E)ven digits can form 4*5^3 = 500 numbers, since the first digit cannot be zero.

Therefore, the total numbers possible is 3*(625+500)

= 3,375

Step-by-step explanation:

Answer Link

Otras preguntas

Which statement is supported by the fossil record? Chimpanzees are ancestors of modern humans. Neanderthals are the most recent ancestor of modern humans. Most
A coin is tossed 5 times and a tail is the outcome each time. what is the probability of getting a tail on the sixth throw
The _____ believe that tiger wood's achievements are primarily due to his innate athletic abilities.
How many ways can a student arrange their 9 folders in the bin?
What caused World War 2
F(x)=2-3x evaluate f(4) -10 12 14 - 5
Mr Lee buys a 30-inch television.The height of the screen is 18 inches. Given that television screens are measured across the diagonal,i.e. the length of the di
Describe two grooming routines that are important in your life
Considering both short-term and long-term consequences, how did the nature of warfare change as a result of the Civil War?
Is often a verb ???????