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
oksano4ka [1.4K]
3 years ago
5

The faces of a cube are to be numbered with integers 1 through 6 in such a way that consecutive numbers are always on adjacent f

aces (not opposite ones). The face numbered 1 is on top and the face numbered 2 is toward the front. In how many different ways can the remaining faces be numbered?
Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

Answer:

Total different ways to number the remaining faces is 10.

Step-by-step explanation:

It is given that consecutive numbers are always on adjacent faces (not opposite ones).

The face numbered 1 is on top and the face numbered 2 is toward the front.

Top = 1

Front = 2

The remaining faces are left right bottom back. Total possibilities are shown below.

S.no.      3                4              5               6

(1)       Right         Back         Bottom       Left  

(2)       Right         Back         Left         Bottom  

(3)       Right        Bottom       Left           Back  

(4)       Right        Bottom       Back         Left  

(5)       Bottom      Right         Back         Left  

(6)       Bottom       Left          Back        Right  

(7)       Left            Back       Bottom       Right  

(8)       Left            Back        Right         Bottom  

(9)       Left           Bottom      Right          Back  

(10)     Left            Bottom      Back         Right

When Bottom=3, then we can not place 4 on back because doing this 5 and 6 are opposite ones.

Therefore, total different ways to number the remaining faces is 10.

You might be interested in
What is the result when 2x^3-5x^2-x+6 is divided by x+1?
makkiz [27]

(

2

x

−

3

)

(

x

2

−

x

−

2

)

Factor

x

2

−

x

−

2

using the AC method.

Tap for fewer steps...

Factor

x

2

−

x

−

2

using the AC method.

Tap for more steps...

(

2

x

−

3

)

(

(

x

−

2

)

(

x

+

1

)

)

Remove unnecessary parentheses.

(

2

x

−

3

)

(

x

−

2

)

(

x

+

1

)

8 0
3 years ago
What’s the degree of 3?
Maurinko [17]

Answer:

3 Cubic x3−x2+5

Step-by-step explanation:

7 0
3 years ago
Find the measures of the following angles
mezya [45]

Answer:

HGD: 117

FDG: 180

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Is 4/12more or less than 4/6
11111nata11111 [884]
4/12 is less than 4/6

4/12 = 2/6

and 2/6 < 4/6
5 0
3 years ago
Read 2 more answers
A2+b2 = C2solve for a
lesantik [10]
a^2+b*2=c^2 

a^2+2b=c^2&#10;&#10;  \text{Regroup terms} 

a^2=c^2-2b&#10;  \text{Subtract 2b from both sides} 

a=\pm \sqrt{c^2-2b}  \text{Take the square root of both sides}

3 0
3 years ago
Other questions:
  • What is the product of 5x4
    11·2 answers
  • Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply.
    7·2 answers
  • -4 1/5 - { -13 1/10}
    15·1 answer
  • Not sure how to work this out can anyone help?
    13·2 answers
  • Which of the following is true? a. A hypothesis is a measure, such as price or quantity, that can take on different values at di
    14·1 answer
  • A rectangular carpet was too large for a room. By taking 1 foot off of each side of the carpet the area of the new carpet is 26
    15·1 answer
  • Please help, brainliest for correct answer
    6·1 answer
  • Help meh plz I just need answer question in pic
    12·1 answer
  • PLEASEEEE HELPPPPPPPPPPP
    5·1 answer
  • I need the answer immediately!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!