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Chapter 13: Q. 11. (page 868)

Compute the given expression.
$C (8, 3)$

Short Answer

Expert verified

The answer is $56 .$

Step by step solution

01

Step 1. Given information.

The given information is $C (8, 3) .$

02

Step 2. Compute the expression.

To compute the expression we use listing combinations.

Thus,

$C (8, 3) = \frac{8!}{(8 - 3)! 3!} = \frac{8 \times 7 \times 6 \times 5!}{5! 3!} = \frac{8 \times 7 \times 6}{3 \times 2 \times 1} = 56 .$

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Most popular questions from this chapter

If $P (A) = 0.60, P (A \cup B) = 0.85 a n d P (A \cap B) = 0.05, f i n d P (B)$

According to the Girl Scouts of America, 9% of all Girl Scout cookies sold are shortbread/ trefoils. If a box of Girl Scout cookies is selected at random, what is the probability that it is not shortbread/trefoils?

The ________ of A and B consists of all elements in either A or B or both.

According to the American Pet Products Manufacturers Association, there is a 63% probability that a U.S. household owns a pet. If a U.S. household is randomly selected, what is the probability that it does not own a pet?

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

$C (18, 9)$

See all solutions

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