A 7 character computer password is made up of 4 letters followed by 3 numbers. How many different passwords are possible?

a. 333,135,504
b. 358,800,000
c. 456,976,000
d. 78,364,164,096

Respuesta :

The answer is C, because  10x10x10x26x26x26x10x9x8x26x25x24x23

Total number of characters in the computer password =7.

Number of letters used = 4 letters.

Total numbers used = 3 numbers.

There are 26 English alphabets.

For first character number of options = 26.

For second character number of options = 26.

For third character number of options = 26.

For fourth character number of options = 26.

For fifth character number of options(number from 0 to 9) = 10.

For sixth character number of options = 10.

For seventh character number of options = 10.

Therefore, total number of different possible passwords = 26× 26× 26× 26× 10×10×10

= 456976000.

Therefore, correct option is 3rd option c. 456,976,000.