Chapter 17, Problem 17.2E

Interpretation Introduction

Interpretation:

The number of possibilities of putting three identical balls in four separate boxes, with one ball in each box and the number of possible arrangements, if there is no restriction on the number of balls in each box are to be determined.

Concept introduction:

Combination formula is a possible way of grouping distinguishable objects into various subsystems. The equation for combination formula is as follows:

$C=\frac{N!}{\underset{i=1}{\overset{m}{\prod n_i!}}}$

Where,

• $m$ is the subsystem.

• $N$ is the object.

• $n_i$ is the object in the ith subsystem.