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GATE 2018 EE – Question 6

General Aptitude · Quantitative Aptitude: Probability and Combinatorics · 2 marks · Multiple choice

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?

  1. 6,760
  2. 13,520
  3. 40,560
  4. 1,05,456

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Show answer and explanation

Correct answer: (C) 40,560

Explanation

Choose the numeral (10), the upper-case letter (26) and the lower-case letter (26), then arrange the three distinct kinds in $3!=6$ ways: $10\times26\times26\times6=40{,}560$.