Physics, 26.02.2020 21:05, giovannymarvez16

How many di↵erent strings can be made from the letters in the work PEPPERCORN when all the letters are used? How may of the strings start and end with the letter P? How many strings have 3 consecutive Ps?

Answers: 3

Show answers

Answers

answered: evafaith

Answer

a. 151,200 ways b. 10,080 ways c. 10,080 ways

Explanation:

a. How many different strings can be made from the letters in the work PEPPERCORN when all the letters are used?

Since there are 10 letters in the word PEPPERCORN, there are 10! ways of arranging them. Since we have 3 P's, there are 3! ways of arranging them . We have 2 E's, there are 2! ways of arranging them. We have 2 R's, there are 2! ways of arranging them. We have 1 O, there are ! ways of arranging them. We have 1 C, there are 1! ways of arranging them. We have 1 N, there are 1! ways of arranging them. So there are

$\frac{10!}{3!2!2!1!1!1!} = 151,200 ways$ of arranging the word

b. How may of the strings start and end with the letter P?

If the strings start and end with P, then we have 8 letters left including 1 P.

Since there are 8 letters left in the word PEPPERCORN, there are 8! ways of arranging them. Since we have 1 P, there are 1! ways of arranging them . We have 2 E's, there are 2! ways of arranging them. We have 2 R's, there are 2! ways of arranging them. We have 1 O, there are ! ways of arranging them. We have 1 C, there are 1! ways of arranging them. We have 1 N, there are 1! ways of arranging them. So there are

$\frac{8!}{2!2!1!1!1!1!} = 10,080 ways$ of arranging the word

c. How many strings have 3 consecutive Ps?

There are 8 different ways of arranging the P's consecutively. We are then left with 7 letters. Since there are 7 letters left in the word PEPPERCORN, there are 7! ways of arranging them. We have 2 E's, there are 2! ways of arranging them. We have 2 R's, there are 2! ways of arranging them. We have 1 O, there are ! ways of arranging them. We have 1 C, there are 1! ways of arranging them. We have 1 N, there are 1! ways of arranging them. So there are

$\frac{8!}{2!2!1!1!1!1!} = 10,080 ways$ of arranging the word

answered: Guest

the focus of lesson 1 is newton's first law of motion - sometimes referred to as the law of inertia. newton's first law of motion is often stated as. an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

explanation:

answered: Guest

If an object is moving or in motion

Other questions on the subject: Physics

Physics, 21.06.2019 13:30, jd326677777gfc

What do butterflies have on their feet which allows them to sense different strengths and types of nectar? a. mechanoreceptors b. acoustic receptors c. substratum receptors d. chemoreceptors

Answers: 2

continue

Physics, 21.06.2019 16:20, king514

When a resistor with resistance r is connected to a 1.50-v flashlight battery, the resistor consumes 0.0625 w of electrical power. (throughout, assume that each battery has negligible internal resistance.) what power does the resistor consume if it is connected to a 12.6-v car battery? assume that r remains constant when the power consumption changes.

Answers: 1

continue

Physics, 21.06.2019 22:00, jby

Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume v of water remaining in the tank (in gallons) after t minutes. t(min) 5 10 15 20 25 30v(gal) 694 444 250 111 28 0(a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines pq when q is the point on the graph with t = 5, 10, 20, 25, and 30.(b) estimate the slope of the tangent line at p by averaging the slopes of two secant lines.(c) use a graph of the function to estimate the slope of the tangent line at p. (this slope represents the rate at which the water is flowing from the tank after 15 minutes.)show all steps.

Answers: 2

continue

Physics, 21.06.2019 22:30, tvrgrvJfbhh3881

Astudent is given an assignment to demonstrate diffraction. he takes a photograph of a straw in a glass of water. the straw appears bent at the water level. which best describes this example? a) this is a good example of diffraction. b) this is an example of dispersion and not diffraction. c) this is an example of refraction and not diffraction. d) this is an example of reflection and not diffraction.

Answers: 3

continue

Do you know the correct answer?

How many di↵erent strings can be made from the letters in the work PEPPERCORN when all the letters a...