All categories

3 years ago

How many different 12 member juries can be chosen from a pool of 20 people?

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

3 0

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

You might be interested in

Anyone want to talk?

Tamiku [17]

Sure you giving points?

5 0

2 years ago

if julie ran 3.6 miles from home to the gym and then walked 0.7 miles to the store she then ran from the store home if her total

o-na [289]

So,

Home ---- gym = 3.6 mi.
gym ---- store = .7 mi.
store ----- home = x

3.6 + .7 + x = 7.2 mi.

Collect Like Terms

4.3 + x = 7.2

Subtract 4.3 from both sides
x = 2.9

The distance from the store to her home is 2.9 miles.

4 0

2 years ago

With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1

Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

$sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894$ (nearest thousandth)

6 0

2 years ago

suppose an amount increases by 100% then decreases by 100%. find the final amount. Would the situation change if the original in

denpristay [2]

The first amount would be the original amount as the answer because you are adding and then subtracting the same number. If the increase was 150% then the answer would be 50% more because 150%-100%=50%.

4 0

2 years ago

PLS HELP I WILL MARK BRAINLIEST 6TH GRADE LEVEL

Liula [17]

Answer:

1. A 2. B

Step-by-step explanation:

1. 9(6 times x) and 9 x 6 + 9 times x

Thhis is correct because you do the same for both

2. 1 pound is 16 ounces. So 12.5 x 16 = 200

4 0

2 years ago