Respuesta :
Answer:
Answer would be 156,000.
Step-by-step explanation:
A password is 4 characters long and must consists of 3 letters and one number.
Alphabets = 26 letters ( A to Z )
numbers = 10 ( 0 to 9 )
If no repeats are allowed for letters and the password must end with a number. We use the formula :
[tex]P(n,r)= \frac{n!}{(n-r)!}[/tex]
n = object (26)
r = sample (3)
[tex]n=\frac{26!}{(26-3)!}\times 10[/tex]
[tex]n=\frac{26\times 25\times 24\times 23!}{(26-3)!}\times 10[/tex]
n = 15,600 × 10 = 156,000
There are 156,000 possibilities.