Explore BrainMass

Explore BrainMass

    Combinations: Picking K out of N

    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!

    Baskin Robbins serves "31 Flavors" of ice cream. How many different two-scoop ice cream cones are possible if two different flavors are used on each cone and the order of the scoops doesn't matter?* (* Means chocolate on top and vanilla on the bottom is the same as chocolate on the bottom and vanilla on top.)

    © BrainMass Inc. brainmass.com September 26, 2022, 9:01 pm ad1c9bdddf

    Solution Preview

    Hello and thank you for posting your question to Brainmass.

    This is a "pick k out of n" problem.

    with no order, it is:


    Where n! is n factorial:

    n! = ...

    Solution Summary

    The solution shows how to reach the answer first by simple plug-n-chug and then explains how to do it using simple principles.