Chapter 13: Q. 21 (page 855)

Use the formula $C (n, r) = \frac{n!}{(n - r)! r!}$ to find the value of each combination.
$C (26, 13)$

Short Answer

Expert verified

The value of the given combination is 10400600.

Step by step solution

Step 1. Given information.

The given combination is $C (26, 13)$ .

Step 2. Determine the value of the given combination.

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

$\begin{array}{rcl} C (26, 13) & = & \frac{26!}{(26 - 13)! 13!} \\ = & \frac{26!}{13! 13!} \\ = & \frac{26 \cdot 25 \cdot 24 \cdot 23 \cdot 22 \cdot 21 \cdot 20 \cdot 19 \cdot 18 \cdot 17 \cdot 16 \cdot 15 \cdot 14 \cdot 13!}{13! \times 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} \\ = & 1040060 \end{array}$

Step 3. Conclusion.

The value of the given combination is 10400600.

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Use the formula $C (n, r) = \frac{n!}{(n - r)! r!}$ to find the value of each combination.
$C (26, 13)$

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(26,13)

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

Pure Maths

Geometry

Applied Mathematics

Calculus

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.
$C (26, 13)$