GATE Electrical Engineering (EE) 2018 Solved Paper

Question : 7 of 65

Marks: +1, -0

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?

6,760
13,520
40,560
$1,05,456$

Validate

Solution:

Since, there are three positions which can be filled either by upper case letter, lower case letter or a number from 09 -
Hence, total choices are

=26 × 26 × 10=6760

3 characters can be arranged in

3 !

ways hence total no of password can be

= 3 ! × 6760=40560

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