Question

If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.

262

likes

1308 views

Answer to a math question If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.

$Expert avatar$

Miles

4.9

114 Answers

We are given 8 teams (objects) to arrange them in 3 places in different ways. We are asked to calculate the permutations of 8 different things taken 3 at a time. This will be given by : ^8P_3=\frac{8^{}!}{\left(8-3\right)!}=\frac{8!}{5!}

=8\times7\times6

=336 So, we can arrange the 8 teams in 336 different ways to 1st, 2nd and 3rd position.

Frequently asked questions (FAQs)

Question: "Factorize the expression 5x^2 - 10xy + 15xz - 30yz using the distributive property."

What is the value of f(x) = 2x^2 - 3x + 5 when x = 4?

What is the number of ways to arrange 4 books on a shelf if 2 of them must be placed side by side?

New questions in Mathematics

A=m/2-t isolate t

Write 32/25 as a percent

The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?

Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.

Serum cholesterol levels in men aged 18 to 24 years have a normal distribution with a mean 178.1mg/100 ml and standard deviation 40.7 mg/100 ml. The. Randomly choosing a man between 18 and 24 years old, determine the probability of your serum cholesterol level is less than 200. B. Whether a serum cholesterol level should be judged too high if it is above 7% higher, determine the value of the separation level of levels that are too high. w. Determine a 90% reference range for serum cholesterol level among men from 18 to 24 years old.

The expected market return is 13,86% and the risk free rate 1%. What would then be the risk premium on the common stocks of a company which beta is 1,55? (in %, 2 decimal places)

You are planning to buy a car worth $20,000. Which of the two deals described below would you choose, both with a 48-month term? (NB: estimate the monthly payment of each offer). i) the dealer offers to take 10% off the price, then lend you the balance at an annual percentage rate (APR) of 9%, monthly compounding. ii) the dealer offers to lend you $20,000 (i.e., no discount) at an APR of 3%, monthly compounding.

-27=-7u 5(u-3)

(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.

Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.

form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?

You want to study incomes in a large city. You take a simple random sample of 5012 households and find that the distribution of household incomes is skewed right. If you calculate the mean of the 5012 household incomes will the distribution of mean scores be skewed right as well? Hint: this involves the Central Limit Theorem.

When Sara was 15 years old, an uncle left her as inheritanceà a sum of 10,000 euros which he invested in a bank that applies the interest rate of 2,5% annual. Today Sara is 18 years and wants to buy a'car, how much she can ò withdraw from the bank?

36 cars of the same model that were sold in a dealership, and the number of days that each one remained in the dealership yard before being sold is determined. The sample average is 9.75 days, with a sample standard deviation of 2, 39 days. Construct a 95% confidence interval for the population mean number of days that a car remains on the dealership's forecourt

Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?

We plan to test whether the mean mRNA expression level differs between two strains of yeast, for each of 8,000 genes. We will measure the expression levels of each gene, in n samples of strain 1 and m samples of strain 2. We plan to compute a P-value for each gene, using an unpaired two-sample t-test for each gene (the particular type of test does not matter). a) What are the null hypotheses in these tests (in words)? [2] b) If, in fact, the two strains are identical, how many of these tests do we expect to produce a P-value exceeding 1/4? [2]

Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.

If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13

Solve the following 9x - 9 - 6x = 5 + 8x - 9

Convert (324)𝑓𝑖𝑣𝑒 into base-ten

If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.

Answer to a math question If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.

You might be interested in