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
Diano4ka-milaya [45]
3 years ago
7

In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that those of the same nationality s

it together?
Mathematics
2 answers:
kaheart [24]3 years ago
4 0
Answer (13 of the original arrangements are duplicates now, as AAAF F F FDDDDCC, AAF F F FDDDDCCA, ..., CAAAF F F FDDDDC are identical): 900900/13 = 69300.
miskamm [114]3 years ago
3 0

Answer:

165888

Step-by-step explanation:

Given,

Number of americans = 3,

Total way of seating americans in 3 seats = 3 !,

Number of frenchmen = 4,

Total way of seating frenchmen in 4 seats = 4 !,

Number of danes = 4

Total ways of seating danes in 4 seat = 4 !,

Also, number of Italians = 2,

Total ways of seating italians in 2 seats = 2 !,

Hence, the total ways of seating all citizens so that people with same nationality sit together  =  ( 3! × 4! × 4! × 2! ) × 4!

= 6 × 24 × 24 × 2 × 24

= 165888

You might be interested in
In a game, the probability that a spinner will land on blue is 1/4. How many times would you expect to land on blue if you spin
JulijaS [17]

Answer:

2 times

Step-by-step explanation:

8 0
3 years ago
The cost of a long-distance telephone call is given by the function
zalisa [80]
The slope would represent the cost per minute, since m is the length of the call in minutes. Logically, D) Cost per minute, is the only one that would work. The connection cost would be just added in, and you wouldn't multiply the cost of having a phone line by how many minutes you're on the phone. The length of the call is already there, it's m, so that wouldn't work either. Therefore, D, cost per minute, is the logical answer. The slope in the equation represents D, cost per minute.
3 0
3 years ago
Which set of angles shares rayAF as a common side?
Natali [406]
BAF and FAD I took the test !
3 0
3 years ago
Let A= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose an element of A is randomly selected. What is the probability that it belongs to
gregori [183]
<h3>Answer:  3/5</h3>

============================================================

Explanation:

The set {1, 2}U{2, 6, 7, 9}U{5, 6, 7} simplifies to {1,2,5,6,7,9} after we combine everything and sort the values. We toss any duplicates.

Let B = {1,2,5,6,7,9}

There are 6 items in set B out of 10 items in set A.

The probability of landing in set B, if you pick something randomly from A, is 6/10 = 3/5

8 0
3 years ago
Read 2 more answers
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 peop
yKpoI14uk [10]

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

4 0
3 years ago
Other questions:
  • Divide use either way to record partial quotient 198÷9
    6·1 answer
  • Write an equation in point-slope form of the line that passes through the points
    15·1 answer
  • Explain the difference between an interval estimator and a point estimator for mu. Choose the correct answer below. A. A single
    13·1 answer
  • a team of runners need to run a 1/4 mile relay, if each runner must run 1/16 mile,,how many runners will be needed.
    14·2 answers
  • How can i write three and eight hundred fifty two thousandths
    11·1 answer
  • There's the 2nd part but I've already done that. I just need an answer or help with this.
    14·1 answer
  • Is the orthocenter of a triangle on the inside ?
    14·2 answers
  • URGENT: Martha is 1 of 5 girls in a backstroke finals of the swim meet. Only the top 2 finishers of the race will receive ribbon
    8·1 answer
  • A picture of two horses pulling a carriage to the left.
    14·1 answer
  • Add -2.25 +2.5<br><br> Plot the first addend and the sum on the number.<br><br><br> Please quick
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!