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pogonyaev
3 years ago
9

Write the number of permutations in factorial form. Then simplify, how many different ways can you and six of your friends sit i

n your assigned seats in math class
A)6!; 120
B)6!;720
c)7!;2,520
D) 7!;5,040
Mathematics
2 answers:
kari74 [83]3 years ago
6 0
You and 6 of your friends. Total of 7 people.

The answer is D.) 7! ; 5,040
Rainbow [258]3 years ago
6 0

Answer: D) 7!;5,040

Step-by-step explanation:

Given: The number of friends = 7

Permutations says that the number of different ways of arranging r objects out  of n objects is given by ;-

^nP_r=\dfrac{n!}{(n-r)!}

By permutations the number of different ways they can sit is given by :-

^7P_7=\dfrac{7!}{(7-7)!}=\dfrac{7!}{0!}\\\\=7\times6\times5\times4times3\times2\times1\\\\=5,040

Therefore, the different ways can you and six of your friends sit in your assigned seats in math class = 5,040.

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Evaluate 4(a^2 + 2b) - 2b when a = 2 and b = –2.
Rama09 [41]

Answer:

4

Step-by-step explanation:

4(4-4)+4=4

insert 2 in a and-2 in b

7 0
4 years ago
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Find the missing side length, and enter your answer in the box below. If
Savatey [412]

The missing side length is c = 25 units.

Step-by-step explanation:

Step 1:

The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.

As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.

The length of the hypotenuse is given as c units.

Step 2:

According to Pythagoras theorem,

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8 0
3 years ago
What is the better buy?
White raven [17]

Answer: Option B is the cheaper deal (the 12 batteries for $14.76)

===========================================================

Explanation:

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3/3 batteries = 4.80/3 dollars .... divide both sides by 3

1 battery = 1.60 dollars

The unit price for the first deal is $1.60 per battery.

----------------------------------

For the second deal we could say

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12/12 batteries = 14.76/12 dollars .... divide both sides by 12

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The unit price for the first deal is $1.23 per battery.

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So in short, you're dividing the total cost over the number of items to get the unit price.

4 0
3 years ago
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Hello can someone please help me with this.
otez555 [7]

Answer:

a)

T` {-4,-2}

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Step-by-step explanation:

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5 0
2 years ago
Determine dois números ímpares consecutivo cujo produto seja 195
miv72 [106K]
Let 1st integer  = xLet 2nd integer = x + 1 We set up an equation. x(x + 1) = 195 x2 + x = 195 x2 + x - 195 = 0

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8 0
3 years ago
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