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Nataly_w [17]
2 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]2 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.

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A car rental cost 30 a day plus 0.65 per mile after the first 100 miles you are traveling 215 miles in 3 days how much will your
hichkok12 [17]

Answer: His total rental cost will be $164.75.

Step-by-step explanation:

Since we have given that

Cost of per day = $30

Cost of per mile after the first 100 miles = $0.65

According to question, he was travelling 215 miles in 3 days.

So, it becomes,

30\times 3+0.65\times (215-100)\\\\=90+0.65\times 115\\\\=90+47.75\\\\=\$164.75

Hence, his total rental cost will be $164.75.

6 0
3 years ago
Laura, Maria, and Nathan had 2 1 4 cups of milk to share for breakfast. Laura poured some milk on her breakfast cereal. Then she
ollegr [7]

The cups of milk Laura gave to Maria is 19/12 cups is 19/12 cups

<h3>How to calculate fraction</h3>

  • Total cups of milk to share = 2 1/4 cups

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  • Maria = 2/3 cups

Total = Laura + Maria

2 1/4 = x + 2/3

2 1/4 - 2/3 = x

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(27-8) / 12 = x

19/12 = x

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Therefore, the cups of milk Laura gave to Maria is 19/12 cups

Learn more about fraction:

brainly.com/question/11562149

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1 year ago
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Luden [163]

Answer:

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Step-by-step explanation:

im so sorry

7 0
2 years ago
WILL GIVE BRAINLIEST PLEASE HELP!!!
laiz [17]

Answer:

its the top right answer choice

you'd simply just need to subtract 80 from 210 since its 10 per visit, and after 8 visits well its self explanatory

Step-by-step explanation:

its the top right answer choice

you'd simply just need to subtract 80 from 210 since its 10 per visit, and after 8 visits well its self explanatory

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Answer:

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Step-by-step explanation:

this is the answer

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