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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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Suppose you carry out a significance test of h0: μ = 8 versus ha: μ &gt; 8 based on sample size n = 25 and obtain t = 2. 15. Fin
OLEGan [10]

Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:

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It also involves the significance level, as follows.

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5 0
2 years ago
How to solve for x and what does x equal in this?​
Tanya [424]

Answer:

10

Step-by-step explanation:

give brainliest please!

hope this helps :)

so these two angles add up to 180 degrees

7x -3 + 12x -7 = 180

7x+12x=180+7+3

19x=190

x=10

to check if this is true we can input 10 for x in each side.

7(10)-3 = 67

12(10)-7 = 113

113+67 = 180

7 0
2 years ago
Read 2 more answers
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