1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
julia-pushkina [17]
4 years ago
15

How many different arrangements can be made with ten pieces of silverware laid in a row if three are identical spoons, four are

identical forks, and three are identical knifes
Mathematics
1 answer:
LuckyWell [14K]4 years ago
4 0

10 pieces of silverware laid in a row if 3 are identical spoons, 4 are identical forks, and 3 are identical knifes

The arrangement of 'm' objects on which 'n' objects are of same kind is \frac{m!}{n!}

Given: 10 pieces of silverware so its 10!

3 are identical spoons so its 3!

4 are identical forks so its 4!

and 3 are identical knifes so its 3!

Arrangements made = \frac{10!}{3!*4!*3!} = 4200




You might be interested in
HELP I NEED THIS ANSWER
Sedbober [7]

Answer:

The answer is 1/8

Step-by-step explanation:

So I found a half of a half and divided it by 6.

3 0
3 years ago
Answer for 14+3y < 65
ivanzaharov [21]
Hey there!

14 + 3y < 65

SOME people replace “<”, “>”, “≥”, or “≤” as an equal sign (=) to make it easier to solve

14 + 3y < 65
14 + 3y = 65

SUBTRACT by 14 on both of your sides
3y + 14 - 14 = 65 - 14
CANCEL out: 14 - 14 because that gives you 0
KEEP: 65 - 14 because it helps you solve for “y”

**65 - 14 = 51**

NEW EQUATION: 3y = 51

DIVIDE by 3 both of your sides
3y/3 = 51/3
CANCEL out: 3/3 because that gives you 1
KEEP: 51/3 because it gives you the value of “y”



NEW EQUATION: y = 51/3

**51/3 = 17**

Answer: y = 17 ☑️

☑️ OVERALL ANSWER FOR YOU: y < 17 ☑️
NOTE: it’s an OPEN circle SHADED to the LEFT

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

5 0
3 years ago
Read 2 more answers
A(x) = x( 48 - x)<br> When is A(x) at its maximum?<br> Explain or show how you know.
krek1111 [17]

Answer:

When X = 24

Step-by-step explanation:

Use derivative to locate the turning point.

48 - 2X = 0, => X = 24

4 0
2 years ago
Please help and explain :)
pentagon [3]
This question is asking which two numeric values are closer to each other. The smallest gap in between Mercury, and Helium, which is the answer
6 0
4 years ago
Two students taking a multiple choice exam with 20 questions and four choices for each question have the same incorrect answer o
MrRa [10]

Answer:

The Possible model is binomial distribution model.

Step-by-step explanation:

The argument that both students cheated in the exam can be proved by a hypothesis that both the students got the same answers incorrectly.

The same incorrect answers prove that both students have cheated on the test.

Therefore the sample of incorrect answers is, n = 8

Thus, the success probability, P = 0.25

Since the given condition has only two outcomes that are choosing the same answer or not choosing the same answer. Thus, this can be solved by the binomial distribution model.

So, binomial distribution with n = 8 and p = 0 .25.

3 0
3 years ago
Other questions:
  • 25 pts Maureen tracks the range of outdoor temperatures over three days. She records the following information.
    5·1 answer
  • Identify four over five as proper, improper or mixed
    10·2 answers
  • Verify that the divergence theorem is true for the vector field f on the region
    12·1 answer
  • Solve for the specified variable:<br> c(a+b)-d=f for a
    12·2 answers
  • Tony plans to run a 5,000-meter fun run at a constant rate of 250 meters per minute. He uses function f to model his distance fr
    14·2 answers
  • 22/8=55/x what is x ?
    7·1 answer
  • Give an example of a real number, an imaginary number, and a complex number. Use examples that have not
    15·1 answer
  • Emily can ride her scooter 18 miles in 50 minutes ) How long would it take for her to ride four miles.
    5·2 answers
  • Al obtener el valor de lo que costará la fiesta de graduación para tu grupo te das cuenta que el lugar que decidieron alquilar p
    7·1 answer
  • Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!