1. A combination lock requires three selections of numbers, each from 0 througch 39. For each of the following questions, write an expression for your anwer, then give the numeric answer. (For example, 31 6) A How many total combinations are possible? b. How many combinations start with a number between 22 and 37 (inclusive)? e Suppose the lock is constructed in such a way that no number can be used twice in a row. How many combinations are possible?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1.
A combination lock requires three selections of numbers, each from 0 through
39. For each of the following questions, write an expression for your anwer, then give
the numeric answer. (For example, 3!6)
a How many total combinations are possible?
b. How many combinations start with a number between 22 and 37 (inclusive)?
c. Suppose the lock is constructed in such a way that no number can be used twice in a
row. How many combinations are possible?
Transcribed Image Text:1. A combination lock requires three selections of numbers, each from 0 through 39. For each of the following questions, write an expression for your anwer, then give the numeric answer. (For example, 3!6) a How many total combinations are possible? b. How many combinations start with a number between 22 and 37 (inclusive)? c. Suppose the lock is constructed in such a way that no number can be used twice in a row. How many combinations are possible?
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