A special type of door lock has a panel with five buttons labeled with the digits 1
Chapter 17, Problem 17.10(choose chapter or problem)
A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence of three actions. Each action consists of either pressing one of the buttons or pressing a pair of them simultaneously.For example, 12-4-3 is a possible combination. The combination 12-4-3 is the sameas 21-4-3 because both the 12 and the 21 simply mean to press buttons 1 and 2 simultaneously.a. How many combinations are possible?b. How many combinations are possible if no digit is repeated in the combination?
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