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Katen [24]
3 years ago
5

A paint box contains 12 bottles of different colors. If we choose equal quantities of 3 different colors at random, how many col

or combinations are possible? A. 479,001,600 B. 1,320 C. 220 D. 36
Mathematics
2 answers:
Luden [163]3 years ago
8 0

Answer:

C

Step-by-step explanation:

You are choosing 3 from a total of 12. Order does not matter. So you are working with combinations. The answer symbolically is

12C3

12C3 = 12!/(9!3!)

12C3 = 12 * 11 * 10 * 9!/(9! 3!)

12C3 = 12 * 11 * 10/6

12C3 = 2 * 11 * 10

12C3 = 220

astraxan [27]3 years ago
8 0
<h3>Answer: Choice C) 220 </h3>

========================================

We have 12 choices for the first selection, 11 for the second, and 10 for the third. There are 12*11*10 = 1320 permutations. If your teacher was asking about permutations, then you would be done at this point. However, your teacher is asking about combinations. With combinations, order does not matter.

For any group of 3 items, there are 3! = 3*2*1 = 6 ways to arrange this group. This means that we must divide 1320 over 6 to correct for the fact that we overcounted by a factor of 6

In this case,

number of combinations = (number of permutations)/6

number of combinations = 1320/6

number of combinations = 220

More generally, I'm using the connection that

nCr = (nPr)/(r!)

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Water flows down the Mississippi River at about 1.2 miles per hour
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Answer:

Continuous

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2 years ago
I do not understand how I find answers on here
Volgvan
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3 years ago
PLEASE HELP!!<br>1y+14=-4y+9 for y. Round your answer to the nearest tenth.​
slega [8]

Answer:

y = -1.0

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 4y and subtract 14 from both sides:

1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)

1y + 4y = 9 - 14

Combine like terms:

5y = -5

Isolate the variable, y. Divide 5 from both sides:

(5y)/5 = (-5)/5

y = -5/5

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y = -1 is your answer.

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3 years ago
Solve for x<br><br>O 5.5<br>O 6.5<br>O 7.5<br>O 8.5<br>​
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Answer:

x= 120

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3 years ago
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