Passwords consist of 7 symbols which can be of three types, i.e. uppercaseletters, special symbols or digits. Assume that there are 32 letters, 20 special symbols and 10 dig - its. Assume that all such passwords are valid (e.g . AASY3B4, BASY3B4 and # # # # %% %) a) How many passwords contain only one type of symbols (for example only special symbols)? Show a formula but you do not have to compute a final answer. b) Let us require that a password must have a special symbol in the last position or in the second last position. How many passwords fulfill thos condition? Show a formula but you do not have to compute a final answer. Show arguments.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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Passwords consist of 7 symbols which can be of three types, i.e. uppercaseletters, special symbols or digits. Assume that there are 32 letters, 20 special symbols and 10 dig - its. Assume that all such passwords are valid (e.g
. AASY3B4, BASY3B4 and # # # # %% %)
a) How many passwords contain only one type of symbols (for example only special symbols)? Show a formula but you do not have to compute a final answer.
b) Let us require that a password must have a special symbol in the last position or in the second last position. How many passwords fulfill thos condition? Show a formula but you do not have to compute a final answer. Show
arguments.
Transcribed Image Text:Passwords consist of 7 symbols which can be of three types, i.e. uppercaseletters, special symbols or digits. Assume that there are 32 letters, 20 special symbols and 10 dig - its. Assume that all such passwords are valid (e.g . AASY3B4, BASY3B4 and # # # # %% %) a) How many passwords contain only one type of symbols (for example only special symbols)? Show a formula but you do not have to compute a final answer. b) Let us require that a password must have a special symbol in the last position or in the second last position. How many passwords fulfill thos condition? Show a formula but you do not have to compute a final answer. Show arguments.
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