CMI 2021 COMBINATORICS PYQ


You have to form a 7 letter password using 10 digits and 26 letters. Only lower case letters as allowed. For example, 01x01xb, 11bcaa0, etc. are valid passwords.

  1. How many passwords can you make with 26 letters and 10 digits?
  2. How many passwords have atleast one alphabet and atleast one digit?
  3. How many passwords are there with at least one consonant and atleast one vowel and atleast one digit? Note that there are 5 vowels and 21 consonants.
  4. Suppose there are 12 additional special characters. How many passwords are there with atleast one vowel, one consonant, one digit and one special character?

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