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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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1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
Nady [450]

Answer:

$5809.17

$6149.01

$2211.72

Step-by-step explanation:

Continous interest formula:

(pv)e^(rt)

we have

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Same equation from before

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5 0
3 years ago
Dee Dee bought an Apple for $0. 85, a sandwich for $4. 50, and a bottle of water for $1. 50. How much did Dee Dee spend?
OLga [1]

To figure out how much she spent all we have to do is add up $0.85, $4.50 and $1.50

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Therefore she spent $6.85

Hope this helps

8 0
2 years ago
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Can Anyone Help me with this I believe I got the first one correct If not correct me please
olga_2 [115]

Answer:

the second one I think

Step-by-step explanation:

7 0
2 years ago
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Mark makes three pounds of hamburger to feed his family of 6. How many pounds of hamburger should you purchase for Memorial Day
polet [3.4K]
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3 0
3 years ago
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Suppose I am playing a sport that does not allow me to end a match in a tie​ (AKA I have to either win or​ lose). If my probabil
Leviafan [203]

Answer: The required probability is 0.3456.

Step-by-step explanation:

Since we have given that

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Probability of losing at any given time = 1-0.6 = 0.4

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Hence, the required probability is 0.3456.

6 0
3 years ago
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