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drek231 [11]
3 years ago
13

Pls help fast:How many ways can 3 songs be chosen from 12 to create a 3 song ordered play list?​

Mathematics
1 answer:
leva [86]3 years ago
3 0

Answer:

1320

Step-by-step explanation:

Total number of songs = 12

Number of songs required to arrange in a play list = 3

It means we have to arrange 3 songs from 12 in the play lines. So, required number of ways is

Ways=^{12}P_{3}

Ways=\dfrac{12!}{(12-3)!}         [\because ^nP_r=\dfrac{n!}{(n-r)!}]

Ways=\dfrac{12\times 11\times 10\times 9!}{9!}

Ways=1320

Therefore, the required number of ways is 1320.

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The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo
andrew11 [14]

Answer:

<em>24 children</em>

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

y  \alpha \frac{1}{x}\\y =\frac{k}{x}

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>

<em></em>

5 0
3 years ago
If f(x) = 3x2 – 12x + 4, find f(–2).<br> A) -40 <br> B) -20 <br> C) 20 <br> D) 40
Digiron [165]

Answer:

The answer is D

Step-by-step explanation:

f(x) = 3x² - 12x + 4

f(-2) = 3(-2)² - 12(-2) + 4

= 12 + 24 + 4

= 40

8 0
3 years ago
Write the additive inverse of 11/221
KATRIN_1 [288]
<h2>ANSWER</h2>

addective inverse of 11/221 = -11/221

-<em>secret_angel</em>-

7 0
2 years ago
7 – five-sevenths= A. two-sevenths B. 1two-sevenths C. 6two-sevenths D. 6start fraction 5 over 7 end fraction
Vlada [557]

Answer:

C

Step-by-step explanation:

To solve it will be easier to turn 7 into a rational number with the same denominator as 5/7

To do this make ratios

\frac{7}{1}=\frac{x}{7}

Now solve for x

x = 49

This means that the fraction will be 49/7

\frac{49}{7}-\frac{5}{7}=\frac{44}{7}

This can also be written as 6\frac{2}{7}

4 0
3 years ago
Anyone know how to do this??
kondaur [170]

Answer:

green square

Step-by-step explanation:

have u ever heard of slope face

8 0
3 years ago
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