   # How many ways can three items be selected from a group of six items? Use the letters A, b, C, D, E, and F to identify the items, and list each of the different combinations of three items. 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 4.1, Problem 2E
Textbook Problem
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## How many ways can three items be selected from a group of six items? Use the letters A, b, C, D, E, and F to identify the items, and list each of the different combinations of three items.

To determine

Find the number of ways three items can be selected from a group of six items. Also, write different combinations of three items B, D, and F using the letters A, B, C, D, E, and F.

### Explanation of Solution

Calculation:

The given information is that the sample size is 3 and population size is 6.

Here, order does not matters. Hence, combination is applied.

Counting rule for combination:

The number of combinations of N objects taken n at a time is CnN and is given by the formula as follows:

CnN=N!n!(Nn)!.

Substitute 3 for n and 6 for N,

N(possible ways)=C36=6!3!(63)!=6!3!×3!=6×5×4×3!3×2×1×3!

=

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