A combination lock consists of a dial with 35 numbers on it. To open the lock, you turn the dial to the right until you reach the first number, then to the left until you get to the second number, ther to the right again to the third number. The numbers must be distinct. How many different combinations are possible?
A combination lock consists of a dial with 35 numbers on it. To open the lock, you turn the dial to the right until you reach the first number, then to the left until you get to the second number, ther to the right again to the third number. The numbers must be distinct. How many different combinations are possible?
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 3ECP: A combination lock will open when you select the right choice of three numbers (from 1 to 30,...
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Transcribed Image Text:A combination lock consists of a dial with 35
numbers on it. To open the lock, you turn the dial
to the right until you reach the first number, then
to the left until you get to the second number, then
to the right again to the third number. The
numbers must be distinct. How many different
combinations are possible?
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