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Kipish [7]
1 year ago
8

How many ways can 12 DVDs be arranged on a shelf? .

Mathematics
1 answer:
Delicious77 [7]1 year ago
6 0

Answer:

12!

Step-by-step explanation:

А=12*11*10*9*8*7*6*5*4*3*2*1=12!=479001600

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HELP ASAP!!!!!!!!
Hoochie [10]

Answer:

Step-by-step explanation:

The set {1,2,3,4,5,6} has a total of 6! permutations

a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.

b. The next 120, including the 124th, would begin with  '2'  

 c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1

d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3

e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).

Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).

∴   The 124th number is 213564

Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.

8 0
2 years ago
Read 2 more answers
Colleen plans to start a small business by making and selling skirts. A sewing machine costs $250, and she estimates that she wi
Dmitrij [34]
Let C(x) be the function which calculates the total cost of making x skirts.

There is going to be a fixed constant, 250, to which we will add 15$ per x skirts.


So C(x)=250+15x

Answer: 250+15x
7 0
3 years ago
Read 2 more answers
In the figure, a∥e , m∥n , and m∠3 = 112°.
liq [111]
<1 = <2
vertical angles (congruent)

<3 = <2
corresponding angles (congruent)

so that: <1 = <2 = <3 = 112 degree

8 0
2 years ago
Read 2 more answers
Find all values of x in the interval [0, 2π] that satisfy the equation. <br><br>6sin²(x) = 3
34kurt

Answer:

The solutions are π/4, 3π/4,5π/4,7π/4

Step-by-step explanation:

The given equation is

6sin²(x) = 3

Divide by 6 to get:

{ \sin}^{2} (x) =  \frac{1}{2}

This implies that;

\sin(x) = \pm  \frac{ \sqrt{2} }{2}

If

\sin(x) = \frac{ \sqrt{2} }{2}

x =  \frac{\pi}{4}

in the first quadrant

x =  \frac{3\pi}{4}

in the second quadrant.

If

\sin(x) = -  \frac{ \sqrt{2} }{2}

x =  \frac{5\pi}{4}

in the third quadrant

x =  \frac{7\pi}{4}

5 0
3 years ago
There are n employees on The Game Shop's sales team. Last month, they sold a total of 504 games. One of the sales team members,
murzikaleks [220]
The expression you would need to know how many games Chris sold is: 

(504 divided by n) -17

4 0
3 years ago
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