Compute the number of passwords of each type below along with how long it would take...

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Compute the number of passwords of each type below along withhow long it would take to test all possible such passwords if ittakes 1 nanosecond to test a password. Report the times in the mostconvenient human understandable form. In all of these, unless notedotherwise, order matters and repetition of characters is allowed.
Passwords of length 8 with any combination of lowercaseletters, uppercase letters, and numbers.
Passwords that start with a capital letter, have 10 lowercaseletters, and end with a number.
Passwords that start with a capital letter, have between 10 and20 lowercase letters, and end with a number.
Passwords that have four words in them, where the words comefrom a list of 20,000 words.
Passwords using the word â€˜passwordâ€™ with different uses ofupper case and lower case letters, and also allowing for asubstitution of a number for the letters such as â€˜96553014â€™; eachletter is uniquely represented by a number, e.g., p can be replacedwith 9 but with no other number. Basically, we have 3 choices perletter in â€˜passwordâ€™. No reordering allowed.
Which of these schemes would you use for your bankaccount?

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Solution Backup Theory If an Activity 1 can be done in n ways another Activity 2 can be done in m ways and for every one way of doing Activity 1 there are m ways of doing Activity 2 then Activity 1 and Activity 2 can be simultaneously done in n x m ways This is the Rule of Multiplication applicable to both Permutations and Combinations 1 Number of ways of arranging n distinct things among themselves ie permutations n nn 1n 2 3212 Number of ways of arranging n distinct things taking only r at a See Answer

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