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Determining the Number of Ways of Getting Marbles

A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles.

How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?

Solution Summary

We use combinatorics to determine the number of ways of selecting five marbles with different specified colors from a sample of 13 marbles with specified colors.

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David Terr, PhD

Rating 4.7/5

Active since 2011

BA, University of Michigan, Ann Arbor
MS, University of Chicago
PhD, University of California, Berkeley

Responses 610 | eBooks 3 | Videos 1


Comments on David's work:

"What does the question want when it asks talk about any engineering decisions you made in your code?"

"Thanks very much Dr. Terr, will that formula be effective for calculating the quantum efficiency of various LED bulbs, from what I researched I will need the area of the pupil to relate to the surface of 1 radian correct? Or if possible could you explain in a more concise manner than my professor?"

"Good response as always. Thankyou"

"A+++ this really is such a good response. Thankyou once again David"

"Exactly the kind of response I was hoping for - thankyou"