Explore BrainMass

Explore BrainMass

    Finding Binomial Coefficients and Combinations

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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?

    © BrainMass Inc. brainmass.com November 24, 2021, 11:52 am ad1c9bdddf
    https://brainmass.com/math/combinatorics/finding-binomial-coefficients-and-combinations-55906

    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)
    ...

    Solution Summary

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

    $2.49

    ADVERTISEMENT