3. A password is a sequence of letters (a-z) and digits (0-9). Find the number of passwordsof length 10 under the constraints in (a), (b) or (c) (three separate problems). Expressyour answer using factorials and integers, products and ratios of them, and/or sums ofsuch things.There are 3 letters and 7 digits, and at most one '9'.(b) There are 6 letters and 4 digits, and no digit occurs twice.(c) No letters are used BUT the first four digits are not all the same AND the last fourdigits are not all the same, AND the 4th, 5th, 6th and 7th digits are not all thesame.

Given that the number of letters (a-z) and the digits (0-9) is used to form a password of length…

Answered: 3. A password is a sequence of letters…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q3. A project manager must select four analysts from her group to write four different software functions. There are 4 junior and 5 senior analysts in her group. The first and fourth functions can be written by any of the analysts. The second function must be written by a senior person and the third function must be written by a junior person. How many ways are there for her to assign the analysts to the functions if no person can be assigned to more than one function?
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