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Yuki888 [10]
3 years ago
5

Six students are to be seated in a row of 6 chairs. if three of thses students must be seated together, how many ways could this

be accomplished?
Mathematics
2 answers:
levacccp [35]3 years ago
7 0
For an instance, A,B,C,D,E,F represent the students, and ABC must be seated together.
Use factorial of 4 (4!). Why 4? Because we have 4 different positions. ABC together, and D, E, F who can be seated separately.
4! = 4 × 3 × 2 × 1
4! = 24

After that, multiply the result of the factorial above by 6. Why 6? Because ABC could have different order: ABC, ACB, BAC, BCA, CAB, CBA, as long as they are together. Therefore,
number of ways = 24 × 6
number of ways = 144

There are 144 ways
liraira [26]3 years ago
4 0
Students : A B C D E F
3 of them (A, B, & C) must be seated together

options::
A B C  D E F ..... D E F  A B C ..... D  A B C  E F ..... D E  A B C  F
A B C  D F E ..... D F E  A B C ..... D  A B C  F E ..... D F  A B C  E
A B C  E F D ..... E F D  A B C ..... E  A B C  F D ..... E F  A B C  D
A B C  E D F ..... E D F  A B C ..... E  A B C  D F ..... E D  A B C  F
A B C  F E D ..... F E D  A B C ..... F  A B C  E D ..... F E  A B C  D
A B C  F D E ..... F D E  A B C ..... F  A B C  D E ..... F D  A B C  E

24 options

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7 0
3 years ago
Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius . One day the high tempe
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<em><u>Solution:</u></em>

Given that, Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius

Let "f" be the temperature in degree Fahrenheit

Let "c" be the temperature in degree celsius

Therefore,

Temperature in degrees Fahrenheit = 32 + \frac{9}{5} times the temperature in degrees Celsius

f = 32 + \frac{9}{5} \times c

One day the high temperature in Edison. Nj was 95 degrees Fahrenheit

f = 95 ; c = ?

Substitute f = 95 in above equation

95 = 32 + \frac{9c}{5}\\\\95=\frac{32 \times 5 +9c}{5}\\\\95 \times 5 = 160+9c\\\\475 = 160 + 9c\\\\9c = 475 - 160\\\\9c = 315\\\\c = 35

Thus high temperature in degrees Celsius is 35 degree celsius

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(x - 5)^2 =
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