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Chapter 13: Q. 15. (page 868)

Choosing a Team In how many ways can a squad of $4$ relay runners be chosen from a track team of $8$ runners?

Short Answer

Expert verified

The ways are $1680 .$

Step by step solution

01

Step 1. Given information.

Number of runners $4$ and numbers of runners in a track team are $8 .$

02

Step 2. Calculation.

The ways can a squad runners be chosen is -

$C (8, 4) = \frac{8!}{(8 - 4)!} = \frac{8 \times 7 \times 6 \times 5 \times 4!}{4!} = 8 \times 7 \times 6 \times 5 = 1680 .$

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Most popular questions from this chapter

List all the combinations of 5 objects $a, b, c, d,$ and $e$ taken 2 at a time. What is $C (5, 2)$ ?

According to a Harris poll, 5% of U.S. adults admitted to having spent money gambling online. If a U.S. adult is selected at random, what is the probability that he or she has never spent any money gambling online?

If $n (A) = 30, n (B) = 40, n (A \cup B) = 45$ , find $n (A \cap B)$ .

In Problems 11–16, construct a probability model for each experiment.

Tossing a fair coin, a fair die, and then a fair coin.

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

$C (18, 1)$

See all solutions

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