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alina1380 [7]
3 years ago
9

Skylar is arranging 8 objects on a shelf. How many different ways can she arrange them? How can I figure this out using the form

ula for combinations?
Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Personally, I never bothered learning the formula. 
When I run into a problem like this, I look at it this way: 
(I learned this method from my high school math teacher,
Mr. H. Carlisle Taylor, in 1956.  It not only works, but I can
even understand it !)

The first object can be any one of the 8 .  For each of those ...
The 2nd object can be any one of the other 7.  For each of those ...
The 3rd object can be any one of the other 6 .  For each of those ...
The 4th object can be any one of the other 5 .  For each of those ...
The 5th object can be any one of the other 4 .  For each of those ...
The 6th object can be any one of the other 3 .  For each of those ...
The 7th object can be any one of the other 2 .  For each of those ...
The 8th object has to be the 1 that's left.

Total number of possible ways to line them up is

                 (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) =  40,320 ways .

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(x^4)(3x^3-2)(4x^2+5x)

=(3x^7-2x^4)(4x^2+5x)

=12x^9+15x^8-8x^6-10x^5

answer: 12x^9+15x^8-8x^6-10x^5

8 0
3 years ago
Can someone help answer at least one? :) ty
Vika [28.1K]

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = \frac{OP}{RT}

                                     = \frac{12}{3.6}

                                     = \frac{10}{3}

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

    \frac{OQ}{RS}=\frac{OP}{RT}

    \frac{OQ}{4.5}=\frac{10}{3}

    OQ = \frac{10\times 4.5}{3}

    OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

    By applying angle sum theorem in ΔRST,

    m∠R + m∠S + m∠T = 180°

    26° + m∠S + 60° = 180°

    m∠S = 180° - 86°

             = 94°

    Therefore, m∠Q = m∠S = 94°

3 0
3 years ago
A company that makes hair-care products had 2,000 people try a new shampoo. Of the 2,000 people, 4 had a mild allergic reaction.
bazaltina [42]

Answer:

0.2%

Step-by-step explanation:

2,000 people tested the new shampoo.

4 people had a mild allergic reaction.

4 is what percentage of 2,000?

0.2 percent.

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3 years ago
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Answer:

D. 3,750

Step-by-step explanation:

Use proportions to solve:

125/500 = x/15000

Cross multiply:

125*15000 = 1,875,000

1,875,000/500 = 3,750

x = 3,750

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3 years ago
What are the solutions of 12 - x2 = 0?
tester [92]

Answer:

±2 sqrt(3) =x

Step-by-step explanation:

12 - x^2 = 0

Add x^2 to each side

12 - x^2 + x^2 = x^2

12 = x^2

Take the square root of each side

±sqrt(12) = sqrt(x^2)

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3 0
3 years ago
Read 2 more answers
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