Compute Probabilities Involving Permutations and Combinations

question 167

Multiple Choice

Compute Probabilities Involving Permutations and Combinations
-A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 8 members and any member can be elected to each position No person can hold more than one office.

• A) 336
• B) 168
• C) 112
• D) 1680

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Definitions:

Level of Significance

A predetermined threshold in hypothesis testing, below which the null hypothesis is rejected, indicating statistical significance.

Null Hypothesis

A hypothesis that assumes no significant difference or relationship exists in the general population from which a sample is drawn.

Variance

A measure of the dispersion of a set of data points around their mean; the square of the standard deviation.

Level of Significance

The probability threshold below which the null hypothesis is rejected in hypothesis testing, typically denoted by alpha (α).