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sasho [114]
2 years ago
10

In how many ways can 7 persons be arranged in a line such that (a) two particular persons are never together.

Mathematics
1 answer:
ivanzaharov [21]2 years ago
3 0

Answer:

3600 ways

Step-by-step explanation:

person A has 7 places to choose from :

→ He has 2 places ,one to the extreme left of the line ,the other to the extreme right of the line

If he chose one of those two ,person B will have 5 choices and the other 5 persons will have 5! Choices.

⇒ number of arrangements = 2×5×5! = 1 200

→ But Person A also , can choose one of the 5 places in between the two extremes .

If he chose one of those 5 ,person B will have 4 choices and the other 5 persons wil have 5! Choices.

⇒ number of arrangements = 5×4×5! = 2 400

In Total they can be arranged in :

1200 + 2400 = 3600 ways

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The shortest warmer was blue. The two longest warmers were pink.
bogdanovich [222]

Answer:

8

Step-by-step explanation:

The shortest leg warmer:

4.5

The longest leg warmers:

6 and 6.5

6 + 6.5 = 12.5

12.5 - 4.5 = 8

4 0
2 years ago
The volume of the cone shown is 5 cubic inches. What is the height of a cone with the same base diameter but a volume of 10 cubi
Alisiya [41]

Answer:

The height of the big cone is double the one in the small cone

h2 = 2h1

Step-by-step explanation:

Given that:

  • The volume of the small cone: 5 cubic inches
  • The volume of the big cone: 10 cubic inches

As we know, the volume of a cone is as following:

V = (1/3)*area of the base*height

If the base diameter are unchanged => area of the base of the two cones are  unchanged and from the given information, the volume of the big cone is double the volume of the small cone. So the height of the big cone is double the one in the small cone

<=> h2 = 2h1

3 0
3 years ago
Please help me if possible
ss7ja [257]

Answer: 8 cm

Step-by-step explanation:

To do this, we just need to divide 256 by each of the numbers.

First let’s divide 256 by 8

256/8=32

Then divide 32 by 4

32/4 = 8.

Therefore your answer is 8 cm.

3 0
3 years ago
Suhas puts 12 crayons in a box. Two of the crayons are orange. Suhas selects one crayon from the box without
il63 [147K]

Answer:

The probability that it isn't orange is 5/6

Step-by-step explanation:

There are twelve crayons and two are orange so there is ten that aren't orange. Probability being 10/12. We can now simplify to 5/6. There you go easy as.

Many regards, Abdelmumen Nakoa.

6 0
3 years ago
What is 2y/10x equals.
andrew11 [14]

Answer:

\frac{2y}{10x}  =  \frac{y}{5x}

Good luck!

Intelligent Muslim,

From Uzbekistan.

7 0
3 years ago
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