Question

A special type of password consists of four different letters of alphabet, where each letter is used only once. How many different possible passwords are there?

• A. $4^{26}$
• B. $456976$
• C. $14950$
• D. $358800$

Answer 1

Answer: (D)

$358800$

Given there is a four lettered password

There are $26$ alphabets

$\Rightarrow$ Number of ways of selecting a password

${=}^{26}{P}_4=26\times 25\times 24\times 23=358800$