Chapter 13: Q. 17 (page 855)

Use the formula $C (n, r) = \frac{n!}{(n - r)! r!}$ to find the value of each combination.
$C (7, 4)$

Short Answer

Expert verified

The value of the given combination is 35.

Step by step solution

Step 1. Given information.

The given combination is $C (7, 4)$ .

Step 2. Determine the value of the given combination.

Using the formula, the given combination can be written as:

$\begin{array}{rcl} C (7, 4) & = & \frac{7!}{(7 - 4)! 4!} \\ = & \frac{7!}{3! 4!} \\ = & \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = & 35 \end{array}$

Step 3. Conclusion.

The value of the given combination is 35.

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Use the formula $C (n, r) = \frac{n!}{(n - r)! r!}$ to find the value of each combination.
$C (7, 4)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value of the given combination.

Step 3. Conclusion.

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Use the formula C(n,r)=n!(n-r)!r!to find the value of each combination.C(7,4)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value of the given combination.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

Use the formula $C (n, r) = \frac{n!}{(n - r)! r!}$ to find the value of each combination.
$C (7, 4)$