1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
What is 174/216 in simplify form
masha68 [24]
 174/216 in simplify form is 35/54

7 0
2 years ago
Read 2 more answers
If you multiply two binomials together, what type of polynomial will the product be?
Arturiano [62]
Depends
it can be a trinomial example
(x-3)(x-4)=x²-7x+12

it can be a binomial example
(x-3)(x+3)=x²-9

depends
7 0
3 years ago
Solve this and get 12 points
Pachacha [2.7K]

Answer:

9

Step-by-step explanation:

First, find <em>x</em>. Since <em>x</em> is the average of the three number, add the three up and then divided by three. Thus:

x=\frac{13+-16+6}{3}=3/3=1

<em>y</em> is the cube root of 8. Thus:

y=\sqrt[3]{8}=2

So:

x^2+y^3\\=(1)^2+(2)^3\\=1+8=9

5 0
2 years ago
Read 2 more answers
Mulder and Scully are driving to the same town. Mulder leaves the office at 9​:30a.m. averaging 57mph. Scully leaves at 10​:00​a
koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9​:30a.m. averaging 57mph.

Scully leaves at 10​:00​a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

\frac{57}{2}= 28.5 miles

Let t is the time taken by Scully to catch up with​ Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

Therefore total distance cover by them is:

28.5+57t=60t

28.5=60t-57t

28.5=3t\\t=9.5

Hence, it would take 9 hours 30 minutes to catch up Mulder.

10 am + 9 hours 30 minutes = 7:30 pm

Therefore, Scully will catch up with Mulder by 7:30 PM.

6 0
3 years ago
What is 5/9 as a decimal and percent?
ale4655 [162]
The answer is 0.555556 I really hope this helps!                      
3 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me on this problem
    6·1 answer
  • I need help please help me quick
    13·1 answer
  • Two angle measures in a scalene triangle are 77° and 62°. what is the measure of the third angle
    13·1 answer
  • Sandra flips a coin.what is the probability that the coin will land on tails?
    11·2 answers
  • 7(n – 1) = -2(3 + n) solve for n
    14·2 answers
  • Write the equation that describes the line in slope-intercept form.
    9·1 answer
  • Help please it’s important
    15·1 answer
  • The expression below represents the perimeter of a square in centimeters.
    8·1 answer
  • Kinda easy math problems
    6·1 answer
  • Find the product of (3 x 109) and (2 x 109). Write the final answer in scientific notation.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!