A safe box requires a new user to set up a 6-digit code before using it. The user is llowed to only set up the code using any digits (0 - 9), however it must be arrang deceasing order. No digit can be repeated. For example, 654321, 854210, or 974210. How many different codes you can set up? (10! x 6!)/ (6! x4!) (9+1)! / (6! x 4!) (9+1)! x 6!/4! 10!/6!

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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A safe box requires a new user to set up a 6-digit code before using it. The user is allowed to only set up the code using any digits (0 -9), however it must be arranged
deceasing order. No digit can be repeated.
For example, 654321, 854210, or 974210.
How many different codes you can set up?
(10! x 6!)/ (6! x4!)
(9+1): /(6! x4!)
(9+1)! x 6!/4!
10!/6!
Transcribed Image Text:A safe box requires a new user to set up a 6-digit code before using it. The user is allowed to only set up the code using any digits (0 -9), however it must be arranged deceasing order. No digit can be repeated. For example, 654321, 854210, or 974210. How many different codes you can set up? (10! x 6!)/ (6! x4!) (9+1): /(6! x4!) (9+1)! x 6!/4! 10!/6!
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