Chapter 13: Q. 29 (page 855)

List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is $C (4, 3)$ ?

Short Answer

Expert verified

The list of combinations is 123, 124, 134, 234.

The value of the given combination is 4.

Step by step solution

Step 1. Given information.

3 objects are taken at a time from 4 objects 1, 2, 3, and 4 at a time.

The given combinations is $C (4, 3)$ .

Step 2. Determine the list of combinations.

The list of combinations is:

123, 124, 134, 234

Step 3. Determine the value of combination.

We know that,

$C (n, r) = \frac{n!}{(n - r)! r!}$

Using the above formula, we get

$\begin{array}{rcl} C (4, 3) & = & \frac{4!}{(4 - 3)! 3!} \\ = & \frac{4!}{1! 3!} \\ = & \frac{4 \times 3!}{1 \times 3!} \\ = & 4 \end{array}$

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List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is $C (4, 3)$ ?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the list of combinations.

Step 3. Determine the value of combination.

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List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is C(4,3)?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the list of combinations.

Step 3. Determine the value of combination.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Discrete Mathematics

Statistics

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

List all the combinations of 4 objects 1, 2, 3, and 4 taken 3 at a time. What is $C (4, 3)$ ?