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  3. Unit-7
unit-7-permutations-and-combinations

Unit-7 Permutations and Combinations

In this unit you will study about the Multiplication principle, permutations, combinations and Binomial Theorem.

How many different passwords of 8 characters are possible if you are allowed to use both the characters from the English alphabet and digits?




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Learning Pundits Content Team

Written on Apr 23, 2019 12:27:05 PM

Note the following:

1)There are 8 smaller jobs, i.e. selecting each of the eight characters.

2)There are 26 characters in the English alphabet and there are 10 digits. Thus there are 26+10 = 36 different choices for a character occupying the first position from the left. Similarly, for each of the other characters occupying a particular position, there are 36 ways of selecting it after selecting all the characters to the right of it.

3)Thus each of the eight characters can be chosen in 36 ways. So, all the 8 characters of a password can be chosen in 36 × 36 × 36 × ... 8 times = 368 ways. So, there are 368 = 2,821,109,907,456 different possible passwords!