Question

An e-mail password must contain three characters. The password has to contain one numeral from 0 to 9, one upper case and one lower case character from the English alphabet. How many distinct passwords are possible ?

• A.
  $6,760$
• B.
  $13,520$
• C.
  $40,560$
• D.
  $1,05.456$

Answer 1

The correct option is C

$40,560$
Numeral can be selected in 10 ways (0-9). Each of upper case and lower case alphabets can be done in 26ways each.

All three choosen (1 numeral and 2 alphabet) can be arrange in 3! ways.

$So,totalnumberofwayswillbe10\times 26\times 26\times 3!=40560ways$