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)

In a right triangle with an angle of 30°, if the opposite side measures 10 units, what is the length of the hypotenuse?

Question: "In a circle with center O, if angle AOB = 120°, what is the measure of angle ACB?"

What is the ratio between the values of f(x) = 10^x and f(x) = e^x when x = 3?

New questions in Mathematics

The patient is prescribed a course of 30 tablets. The tablets are prescribed “1 tablet twice a day”. How many days does a course of medication last?

Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?

Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.

Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:

Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.

If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.

find all matrices that commute with the matrix A=[0 1]

6-35 A recent study by an environmental watchdog determined that the amount of contaminants in Minnesota lakes (in parts per million) it has a normal distribution with a mean of 64 ppm and variance of 17.6. Assume that 35 lakes are randomly selected and sampled. Find the probability that the sample average of the amount of contaminants is a) Greater than 72 ppm. b) Between 64 and 72 ppm. c) Exactly 64 ppm. d) Greater than 94 ppm.

How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?

Estimate the quotient for 3.24 ÷ 82

A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of

Calculate the difference between 407 and 27

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

To get to a hotel on the hill you have to travel 6 km of uphill road and every kilometer there are 6 sharp curves. Each of the sharp curves is marked by three traffic signs. How many traffic signs are there on the stretch of road that leads to the arbergi?

Solve for B write your answer as a fraction or as a whole number. B-1/7=4

X^3 - x^2 - 4 = 0, what are the values of x?

if y=1/w^2 yw=2-x; find dy/dx

To paint a 250 m wall, a number of workers were employed. If the wall were 30 m longer, 9 more workers would be needed. How many were employed at the beginning?

Triangle ABC has AB=AC and angle BAC =X, with X being less than 60 degrees. Point D lies on AB such that CB = CD Point E lies on AC such that CE= DE Determine angle DEC in terms of X

3(x-4)=156

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