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Chapter 13: Q. 7. (page 869)

Compute the value of the given expression.
$7 . C (11, 5)$

Short Answer

Expert verified

The answer is $462 .$

Step by step solution

01

Step 1. Given information.

$C (11, 5)$ is given.

02

Step 2. Calculation.

$C (11, 5) = \frac{11!}{6! 5!} = \frac{11 \times 10 \times 9 \times 8 \times 7 \times 6!}{6! 5!} = \frac{11 \times 10 \times 9 \times 8 \times 7}{5 \times 4 \times 3 \times 2 \times 1} = 462 .$

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Most popular questions from this chapter

Find the probability of the indicated event if $P (A) = 0.25 a n d P (B) = 0.45$

$P (A \cap B) i f P (A \cup B) = 0.6$

List all the combinations of 6 objects 1, 2, 3, 4, 5, and 6 taken 3 at a time. What is $C (6, 3)$ ?

List all the ordered arrangements of 5 objects $a, b, c, d$ , and $e$ choosing 3 at a time without repetition. What is $P (5, 3)$ ?

True or False The probability of an event can never equal 0.

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

$C (26, 13)$

See all solutions

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