# Finding Binomial Coefficients and Combinations

Committees of 5 individuals are to be formed from 8.

a) How many committees are there?

b) How many committees of 5 can be formed from 8, given that two particular individuals are to be included on the committee?

c) How many committees of 5 can be formed from 8, given that two particular individuals are to be excluded from the committee?

d) How many committees of 5 can be formed from 8, given that at least one of two particular individuals is to be on the committee?

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#### Solution Preview

See attached

Solution.

a) If there are no restrictions, then we can choose 5 people from the given 8 people. The total number of possible ways is 56 (See attached for calculations)

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#### Solution Summary

This solution shows how to determine the number of ways to pick the committees in an attached Word document.