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
Nataly_w [17]
3 years ago
11

Two couples​ (Adam/Brenda and​ Carl/Darlene) have bought tickets for four adjacent seats to see a musical. In how many ways can

the four people be seated if the couples do not sit together​?
Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

The correct answer is 8.

Step-by-step explanation:

Two couples have bought tickets for four adjacent seats to see a musical.

To find the number of ways can the four people be seated if the couples do not sit together​. This is equivalent to finding total number of ways subtract number of ways they are sitting together.

Total number of ways four people can sit in four chairs are 4! = 24.

Number of ways the at least one of the couples sit together is 3! × 2 + 4= 16.

Total number of ways in which the couples do not sit together is

24 - 16 = 8.

We can even think this way (alternate way of thinking):

There are four chairs _ _ _ _.

For the first chair there are four possible options, i.e anyone can sit; then for the second chair there are only two possible options, i.e the other couple; for the third chair there is 1 option, i.e the spouse of the first person who sat on the first chair ; and for the last chair there is only one person left. Thus the number of ways are 4 × 2 × 1 × 1 = 8.

You might be interested in
Find the missing measurement. Round your answer to the nearest tenth. *
wariber [46]

Answer:

For the first image, the answer should be C) 11 ft.

For the second image, the answer should be C) 6 mi.

For the third image, the answer should be C) 6.9 m^2

Step-by-step explanation:

First image explaination: To get the area of a rectangle you would multiply length times width. 7 times 11 is the area given: 77- so the answer should be 11 ft.

Second image explaination: Divide 11.4 by 1.9.  

Third image explaination: Divide 41.4 by 6.

5 0
2 years ago
Choose the student who correctly used substitution to determine if 19 was a solution to the equation. Mara's work Juan's work Ac
Anton [14]

Answer:

Juan’s work is true for those who are un assured enjoy !! ^^

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A man spends $880 in a month. Out of this 26% goes to his rent. How much is his rent?
melisa1 [442]
26% of $880
= 0.26 x 880
= $228.80

------------------------------------------------------
Answer: Rent = $228.80
------------------------------------------------------
4 0
3 years ago
A and b are identical batteries, which is brighter
Elden [556K]
Give better description if they are both identical
3 0
3 years ago
( 2 x -6 ) +4 ( x - 3 )
OLga [1]
(2x-6) + 4(x-3) {distribute 4 out and expand problem}
2x+6+4x-12 {combine like terms}
6x-6 {your answer}
3 0
2 years ago
Other questions:
  • Instructions: Factor 182 as a product of primes. Input the number's prime factors in ascending order.
    6·1 answer
  • a bag contains 6 blue marbles, 10 red marbles, and 9 green marbles if two marbles are drawn at random without replacement what i
    10·1 answer
  • HOw do you find what are the x intercepts of a graph
    14·2 answers
  • What is the subset of 0, -3, and 8!! 
    8·1 answer
  • suppose the atmosphere air pressure at sea level is about 96 kilopascals. for every 1000-meter pressure decreases 11.6 percent.
    7·1 answer
  • Emie read that the movie made 25,992,412.50 in its third week he also read that the average ticket price for this week was 8.35h
    6·1 answer
  • Help me with this lol value of( 2^3)^2
    12·1 answer
  • Find the area of the polygon.
    13·1 answer
  • Equation a. 100x-10x+270=5670​
    13·2 answers
  • NO LINKS!! Please help me with this problem​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!