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Permutation and combination

In how many ways can 7 instructors be assigned to seven sections of a course in mathematics?

How many different ways are there for an admissions officer to select a group of 7 college candidates from a group of 19 applicants for an interview?

A man has 8 pairs of pants, 5 shirts, and 3 ties. How many different outfits can he wear?

Two balls are to be selected without replacement from a bag containing one red, one blue, one green, one yellow, and one black ball. How many points are there in the sample space?

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Solution Preview

Please see the detailed solution in the attached file.
1. This is a permutation problem
P(7, 7) = 7! = 5040
So there ...

Solution Summary

The solution is comprised of detailed examples related to permutation and combination.