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rosijanka [135]
3 years ago
13

A standard six-sided die is rolled $6$ times. You are told that among the rolls, there was one $1,$ two $2$'s, and three $3$'s.

How many possible sequences of rolls could there have been? (For example, $3,2,3,1,3,2$ is one possible sequence.)
Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

Sequence = 120

Step-by-step explanation:

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

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Marta walked 2 miles in 28 minutes. at that rate how far can she walk in 70 minutes
soldi70 [24.7K]
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PLEASE HELP!!
IRISSAK [1]

Step-by-step explanation:

a + b = 6

ab = 1 \times 5 = 5

a = 1  \:  \:  \:  \:  \:  \:  \:  \: b = 5

( {x}^{2}  + x) + (5x + 5)

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8 0
3 years ago
G(t)=2.0.4^t for t = -2​
mafiozo [28]

Answer:

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Step-by-step explanation:

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7 0
1 year ago
This table models a linear function. x −8 −4 4 8 y −3 0 6 9 Enter the coordinates of the y-intercept in the boxes.
adell [148]

Answer:

y-intercept is 3

Step-by-step explanation:

We are given table

x: -8  -4  4  8

y: -3   0   6  9

We can select any two points

x_1=-8,y_1=-3

x_2=-4,y_2=0

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{0+3}{-4+8}

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now, we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

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y-intercept is 3

8 0
3 years ago
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