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A password is a string of 8 characters taken from the alphabet (that is, the set of 26 characters {a, b, c, ..., x, y, z}), the set of 10 digits {0, 1, 3, 4, 5, 6, 7, 8, 9} and the set of 5 special characters {!, @, #, ∗, +}.
How many unique passwords are there where no character can be repeated and there are exactly 2 digits? Keep in mind No character should be repeated including digits. Therefore, the question is asking you to calculate the unique passwords with no repeated characters and with exactly 2 digits. There are 10 choices for the first digit, 9 choices for the second digit. Same goes for the other characters. You should think to choose 2 locations for the digits and then think of the other 6 locations. No character can be repeated
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- A company has its employees choose a password which consists of 9 characters: 3 letters, followed by 2 symbols, followed by 4 digits. There are a total of 11 symbols that the employees can choose from. Letters, symbols and digits can be repeated. How many possible passwords are there?arrow_forwardHow many strings of ten English letters are there that start with AB and end with Y Z and contain at least one vowel if letters can be repeated ?How many ways are there for 8 men and 5 women to stand in a line so that no two women stand next to each other ?How many ways are there for 5 men and 7 women to stand in a line so that all women standarrow_forwardA decimal string is a string over the alphabet of the 10 characters: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. How many decimal strings of length 6 are there that consist of 6 different characters in decreasing order? How many decimal strings of length 6 are there that have at least one letter OR at least one 0?arrow_forward
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- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
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