A phone number is a 7-digit that does not start with 0. Call a phone numbers that make up of exactly 2 different digits. For example, "1111112" and "8111881" are acceptable, but “1111111" and "1234567" are not. How many possible phone numbers are there that contain 2 different digits? .

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A: The total 10 digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Q: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

A: Answer is mentioned below

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A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

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A: To find  How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} toguarantee that at least…

Q: How many different computer passwords are possible if each consists of 7 symbols and if the first 3…

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Q: Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9…

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A: For 'n' number of participants the maximum number of handshakes is n(n-1)/2.

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Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

A: We will use basic combinatorics.

Q: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

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A: Topic = Permutation and combination

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Q: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

A: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…