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VikaD [51]
3 years ago
11

Find the number of ways of arranging N people in a straight line, if two particular people must always be separated.​

Mathematics
1 answer:
horsena [70]3 years ago
8 0

Answer:

It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.

The number of ways N people can be arranged in a straight line without restriction = N!

The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people

= (N - 1) * 2 * (N - 2)!

= 2 (N - 1)!

So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!

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I NEED HELP PLEASE! :)<br> thanks!
BigorU [14]

Add all the chips to find the total amount.

7 + 9 + 3 + 6 = 25 chips

Since there are 6 blue chips (6/25), that's the probability of just getting once.

When you pick a blue chip and it doesn't get replaced, then that means there is one fewer blue chip and one fewer from the total amount.

5/24

Multiply both probabilities.

6/25 * 5/24 = 30/600

Simplify.

30/600 → 1/20

Therefore, the answer is B

Best of Luck!

7 0
3 years ago
Given the lengths of sides XY and XZ as shown in triangle XYZ below, what is the length of side YZ?
kolezko [41]

Answer:

YZ = 12

Step-by-step explanation:

From the question given above, the following data were obtained:

Length of XZ = 13

Lenght of XY = 5

Lenght of YZ =?

The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:

XZ² = XY² + YZ²

13² = 5² + YZ²

169 = 25 + YZ²

Collect like terms

169 – 25 = YZ²

144 = YZ²

Take the square root of both side.

YZ = √144

YZ = 12

Therefore, the length of YZ is 12

7 0
3 years ago
Help me please!!!!!!!!!!!!
zzz [600]

Answer:

(4,-2)

Step-by-step explanation:

L (6,2)     move 4 units down to   (6,-2)  move  2 units left to  (4,-2)

3 0
2 years ago
Read 2 more answers
Square root of 120 over the square root of 30. what is the following quotient.
Minchanka [31]

Answer:

21.90890230 or 21.91 (I'm assuming you're saying 120/ √30)

Step-by-step explanation:

3 0
2 years ago
Liam ran 4 times around a circular track and did 100 jumping
zalisa [80]

Answer:

the one complete circuit of the track is 600 meters

Step-by-step explanation:

divide the 2.4 kilometers by 4 which gives you your answer.

2.4 kilometers = 2,400 meters

2,400/4 = 600

7 0
3 years ago
Read 2 more answers
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