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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?

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.