The mathematics department of the university of louisville consists of 8 professors, 6 associate professors, 13 assistant professors. in how many of all possible samples of size 4, chosen without replacement, will every type of professor be represented?

16848

Step-by-step explanation:

Given that the Mathematics Department of the University of Louisville consists of 8 professors, 6 associate professors, 13 assistant professors.

When a sample of 4 is taken without replacement such that every type of profession is represented.

Hence no of ways to select this = selecting 1 from each from one group and then last one from any one of the total

No of ways =

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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explanation:

step-by-step explanation: