Answered: I have a bucket of n green balls…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...

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I have a bucket of n green balls labeled 1, 2, . . . , n. I have another bucket of red balls
labeled 1, 2, . . . , m. How many combinations of five green balls and three red balls can
I draw from these buckets?

Expert Solution

Step 1

The events are occurring simultaneously. So,

$T o t a l c o m b i n a t i o n s = c o m b i n a t i o n s f o r g r e e n b a l l \times c o m b i n a t i o n f o r r e d b a l l$

Step 2

Find the number of combinations for selecting 5 green balls out of n balls.

$c o m b i n a t i o n s f o r g r e e n b a l l =^{n} C_{5}$

Find the number of combinations for selecting 3 red balls out of m balls.

$c o m b i n a t i o n s f o r r e d b a l l =^{m} C_{3}$

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