Suppose you are asked to list in order of preference the best three movies you've seen this year. If you saw eight movies this year, in how many ways can the three best be chosen and ranked?

Answers

Answer 1

Answer:

The three best can be chosen and ranked in 336 ways.

Step-by-step explanation:

Since you are asked to list the movies in order of preference, the order is important, as a higher order leads to a higher preference. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

If you saw eight movies this year, in how many ways can the three best be chosen and ranked?

[tex]P_{(8,3)} = \frac{8!}{(8-3)!} = 336[/tex]

The three best can be chosen and ranked in 336 ways.


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Answer: Second option, 2^2x+6=2^6

Step-by-step explanation:

You can simplify 4^x+3 by making the 4 into 2^2. By doing this you also multiply the current powers of 4 by 2, giving you (x+3) • 2, furthermore, 2^2x+6.

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Answer:

− 4 x − 16 y

Step-by-step explanation:

Answer:

− 4 x − 16 y

Step-by-step explanation:

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Answer:

1,123 is the absolute value because it is a positive integer hence it reaches the positive absolute value

Answer:

the correct answer is 1,123

Step-by-step explanation:

absolute value is the non-negative value of a real number, without regard to its sign. which means [1,123]= 1,123

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Answer:

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Step-by-step explanation:

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The chance of getting an even number for 1 roll is 1/2 ( half the numbers are even.)

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Answer:

do the floss

Step-by-step explanation:

I think you divide 16 on both sides and add them together.
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Answer:

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Step-by-step explanation:

if you work it will help u head

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Answer:

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Answer:

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Step-by-step explanation:

if you add it up u would see

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(40)
8. Use the information in the figure
below to answer questions a. and b.
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N
Х
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Answers

w= 55
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Answers

Answer:

D) 60°

Step-by-step explanation:

Because TV and YZ are parallel, and TY and VZ are equal, angle T is equal to angle V.  Also, Y and Z would each be 120°.

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Answer:

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

7 x ¼

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Answers

Answer

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Step-by-step explanation:

To find the x value, you want to cancel out the y terms in the equations. To do so, multiply (2x+5y=6) by 2, and (-x+2y=-3) by -5. This gives you

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

When simplified, it should be 13/14

The solution of fractions 3/14 + 15/21 is,

⇒ 3/14 + 15/21 = 39/42

We have to given that,

To add the fractions 3/14 and 15/21.

Now, We can add the fractions as,

⇒ 3/14 + 15/21

Since, LCM of 1 and 21 are 42.

Hence, Make the denominator same,

⇒ 9/42 + 30/42

⇒ (9 + 30) / 42

⇒ 39/42

Therefore, The solution of fractions 3/14 + 15/21 is,

3/14 + 15/21 = 39/42

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Answers

Answer:

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Answer:

21

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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