Solve the Problem. -How Many 5-Digit Numbers Can Be Formed Using the Digits

question 5

Multiple Choice

Solve the problem.
-How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?

• A)2520
• B)16,807
• C)120
• D)119

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Definitions:

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states across a series of experiments or trials.

Expected Value

The sum of all possible values each multiplied by the probability of its occurrence, often used in probability theory to predict the average outcome of a random event over the long term.

Binomial Probability Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states under a given number of observations or trials.

Binomial Experiment

An experiment in statistics involving a fixed number of trials, each of which has only two potential outcomes.