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1. An ATM Card PIN consists of 6-digits, each a 0, 1, 2, ..., 8, 9 in succession. a. How many different PINs are available if there are no restrictions on the choice of digit? b. How many PINS are available if digits cannot be repeated for having the PIN? c. If the nominated PIN cannot start with "0", how many PINs are available? d. If your birthday in the form of MMDDYY cannot be used as a PIN, how many options are available? e. If the nominated PIN cannot start and end with "0", how many PINs are available?

1. An ATM Card PIN consists of 6-digits, each a 0, 1, 2, ..., 8, 9 in succession. a. How many different PINs are available if there are no restrictions on the choice of digit? b. How many PINS are available if digits cannot be repeated for having the PIN? c. If the nominated PIN cannot start with "0", how many PINs are available? d. If your birthday in the form of MMDDYY cannot be used as a PIN, how many options are available? e. If the nominated PIN cannot start and end with "0", how many PINs are available?

Algebra and Trigonometry (MindTap Course List)
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 1CT: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They...
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1. An ATM Card PIN consists of 6-digits, each a 0, 1, 2, ..., 8, 9 in succession. a. How many different PINs are available if there are no restrictions on the choice of digit? b. How many PINS are available if digits cannot be repeated for having the PIN? c. If the nominated PIN cannot start with "0", how many PINs are available? d. If your birthday in the form of MMDDYY cannot be used as a PIN, how many options are available? e. If the nominated PIN cannot start and end with "0", how many PINs are available?
Transcribed Image Text:1. An ATM Card PIN consists of 6-digits, each a 0, 1, 2, ..., 8, 9 in succession. a. How many different PINs are available if there are no restrictions on the choice of digit? b. How many PINS are available if digits cannot be repeated for having the PIN? c. If the nominated PIN cannot start with "0", how many PINs are available? d. If your birthday in the form of MMDDYY cannot be used as a PIN, how many options are available? e. If the nominated PIN cannot start and end with "0", how many PINs are available?
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