How Many Permutations Does a Combination Lock Have If Each

question 258

Multiple Choice

How many permutations does a combination lock have if each combination has 4 numbers, no two numbers of the combination are the same, and the lock dial has 30 notches?

• A)1,973,160
• B)657,720
• C)1,315,440
• D)328,860
• E)none of the above

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Definitions:

Normal Curve

A symmetric, bell-shaped curve that represents the distribution of many types of data; most scores are near the average, and frequencies decrease as you move away from the center.

Binomial Random Variable

A type of random variable that arises from a binomial experiment, representing the number of successes in a fixed number of independent Bernoulli trials.

Sampling Distribution

Distribution probabilities of a given statistic, ascertained through random sampling.

Standard Deviation

An indicator of the extent of variability or spread within a collection of numbers, illustrating the degree to which these numbers diverge from one another in a dataset.