EBK PHYSICAL CHEMISTRY
EBK PHYSICAL CHEMISTRY
2nd Edition
ISBN: 8220100477560
Author: Ball
Publisher: Cengage Learning US
Question
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Chapter 17, Problem 17.1E
Interpretation Introduction

Interpretation:

The possible ways of putting two balls in three boxes, with one ball in each box is to be drawn.

Concept introduction:

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

C=N!ni!i=1m

Where,

m is the subsystems.

N is the object.

ni is the object in the ith subsystem.

Expert Solution & Answer
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Answer to Problem 17.1E

The possible ways of putting two balls in three boxes, with one ball in each box is shown below.

EBK PHYSICAL CHEMISTRY, Chapter 17, Problem 17.1E , additional homework tip  1

Explanation of Solution

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

C=N!ni!i=1m

Where,

N! is the N factorial and values can be 1, 2, 3, N.

ni!i=1m is the product of all the ni values.

It is given that two balls are present in three separate boxes. Therefore, the given value of N is 3 and total objects are 2.

Substitute the given values in the above formula.

C=N!ni!i=1m=3!2!=3×2!2!=3

Thus, the number of possibilities of putting two balls in three boxes, with one ball in each box is 3.

Therefore, the possible ways of putting two balls in three boxes, with one ball in each box is shown below.

EBK PHYSICAL CHEMISTRY, Chapter 17, Problem 17.1E , additional homework tip  2

Figure 1

Conclusion

The possible ways of putting two balls in three boxes, with one ball in each box is shown in Figure 1.

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Chapter 17 Solutions

EBK PHYSICAL CHEMISTRY