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A website requires users to create a password that is 7 characters long. Each character...

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Calculus

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A website requires users to create a password that is 7 characters long. Each character can contain numbers, or symbols chosen from ? , #, and 1. The password does not have to include both numbers andsymbols.a) How many 7-character passwords are possible if numbers and symbols can be used more than once?b) How many 7-character passwords are possible if no numbers or symbols can be repeated?c) What is the probability that a randomly generated 7-character password contains 7 different characters?Ca) Set up the expression that can be used to calculate the number of possible 7-character passwords if numbers and symbols can be used more than once.The expression is (Do not simplify.)The number of different passwords that are possible if numbers and symbols can be used more than once is(Simplify your answer.)b) The number of different passwords that are possible if no numbers or symbols can be repeated is. (Simplify your answer.)Ac) The probability that a 7-character password contains 7 different characters is(Type an integer or decimal rounded to three decimal places as needed.)

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