a) A user's password to access a computer system consists of four digits followed by five lowercase letters of the English alphabet. How many different passwords are possible? b) A user's password to access a computer system consists of three lowercase letters of the English alphabet followed by two digits or of four digits followed by five lowercase letters of the English alphabet. How many different passwords are possible?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
plz solve this question in detail
![a) A user's password to access a computer
system consists of four digits followed by five
lowercase letters of the English alphabet. How
many different passwords are possible?
b) A user's password to access a computer
system consists of three lowercase letters of the
English alphabet followed by two digits or of
four digits followed by five lowercase letters of
the English alphabet. How many different
passwords are possible?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0941393d-c28a-4dd2-afb9-325dfc5a00c3%2Fb2123a41-2cac-4c86-8f5b-9f49819b3573%2Fnuovev_processed.png&w=3840&q=75)
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