Chapter PS, Problem 2.4P

To determine

To find: Number of ways to draw marbles out of the bag one at a time.

Answer to Problem 2.4P

12

Explanation of Solution

Given:

A total of four marbles out of which one blue, two green and one orange marble.

Formula Used:

Number of ways to arrange $n$ items with an item repeating $r$ number of times = $\frac{n!}{r!}$

To find the number of ways to draw marbles out of the bag one at a time, number of arrangements of the marbles are to be calculated.

Here, total number of items, $n=4$

Repetition, $r=2$

Using the formula:

  $\frac{4!}{2!}=\frac{4\times 3\times 2\times 1}{2\times 1}=12$