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Chapter 13: Q. 16. (page 868)

Baseball In how many ways can $2$ teams from $14$ teams in the American League be chosen without regard to which team is at home ?

Short Answer

Expert verified

The ways are $182 .$

Step by step solution

01

Step 1. Given information.

The number of teams that is $14$ is given.

02

Step 2. Calculation.

It can be calculated by -

$C (14, 2) = \frac{14!}{(14 - 2)!} = \frac{14!}{12!} = \frac{14 \times 13 \times 12!}{12!} = 14 \times 13 = 182$

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Most popular questions from this chapter

Find the value of each permutation.

$P (8, 8)$

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

$C (8, 2)$

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

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

$P (A \cup B) i f P (A \cap B) = 0.15$

According to the Insurance Information Institute, there is a 13% probability that an automobile theft in the United States will be cleared by arrests. If an automobile theft case is randomly selected, what is the probability that it is not cleared by an arrest?

See all solutions

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