# In Exercises 5–36, express all probabilities as fractions.Sorting Hat At Hogwarts School of Witchcraft and Wizardry, the Sorting Hat chooses one of four houses for each first-year student. If 4 students are randomly selected from 16 available students (including Harry Potter), what is the probability that they are the four youngest students?

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In Exercises 5–36, express all probabilities as fractions.

Sorting Hat At Hogwarts School of Witchcraft and Wizardry, the Sorting Hat chooses one of four houses for each first-year student. If 4 students are randomly selected from 16 available students (including Harry Potter), what is the probability that they are the four youngest students?

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Step 1

Permutation:

The act of arranging the members of a set into an order or sequence, if it is already in order, we want to rearrange its elements.

The formula for computing permutation is

Step 2

Combination:

A combination is a selection of all object or part of a set of objects, without regard to the order in which objects are selected.

The formula for computing combination is

Step 3

Given that,

Selecting 4 students from 16 students

Here in the process of selecting, ...

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