Answered: I have a bucket of n green balls…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Concept explainers

Question

100%

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.

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

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions