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
ipn [44]
2 years ago
7

A padlock has the digits 0 through 9 arranged in a circle on its face. A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is fou

r digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face. For example 0-2-7-1 is a valid combination, but neither 0-4-4-7 (repeated digit 4) nor 3-0-9-5 (adjacent digits 0-9) are permitted. How many combinations are possible?
Mathematics
1 answer:
stepan [7]2 years ago
8 0

Answer:

The total numbers of possible combinations are 3430.

Step-by-step explanation:

Consider the provided information.

A combination for 0 1 2 3 4 6 5 7 8 9 this padlock is four digits long. Because of the internal mechanics of the lock, no pair of consecutive numbers in the combination can be the same or one place apart on the face.

Here, for the first digit we have 10 choices.

For the second digit we have 7 choices, as the digit can't be the same nor adjacent to the first digit.

For the third digit we have 7 choices, as the digit can't be the same nor adjacent to the second digit.

For the fourth digit we have 7 choices, as the digit can't be the same nor adjacent to the third digit.

So the number of choices are:

10\times 7\times 7\times 7=10\times 7^3\\10\times 343=3430

Hence, the total numbers of possible combinations are 3430.

You might be interested in
Which is the graph of linear inequality 6x + 2y > –10? NO PICTURES PLZZ
kvasek [131]

Answer:

y>-5-3x

Step-by-step explanation:

6 0
2 years ago
On a map, there are 3 inches between two cities. The actual distance between the cities is 18 miles. What was the scale used? Pl
stira [4]
Answer is 1 in=6 miles, answer A.
5 0
3 years ago
i bought a box of fruit snacks worth $9.98, there are 90 packs of fruit snacks in the box. How much is each pack of fruit snacks
Lesechka [4]

Answer:

About $0.11

This is because 0.11 is how much money one pack is Worth.

4 0
3 years ago
HI quick qestion formula for volume
DedPeter [7]

Answer:

b times l times w........

8 0
3 years ago
Read 2 more answers
Which of the triangles shown are right triangles?
d1i1m1o1n [39]

The right angle triangles are:

Triangle A has two acute angles and one ninety degree angle

Triangle d has two acute angles and one ninety degree angle.

<h3>What are right triangles?</h3>

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which one of its angles measure 90 degrees.

To learn more about triangles, please check: brainly.com/question/22949981

#SPJ1

6 0
1 year ago
Other questions:
  • AWNSER PLS AM A IDIOT
    6·2 answers
  • when 1580 is divided into 13 equal parts, the remainder is 7. What is the correct way to write the quotient
    9·2 answers
  • Which expression is equivalent to 3x-4+2(2+4x)
    10·1 answer
  • What is the area of this trapezoid?
    7·1 answer
  • Shen's phone service costs her $20.75 per month. If she averages $8.25
    12·1 answer
  • What is the mean absolute deviation of 10, 5, 7, 10, 19, 32, 25?​
    9·1 answer
  • Giving brainly help find Find m∠H.
    12·1 answer
  • A square has a triangular hole in it. What is the area of the figure?
    15·1 answer
  • Where does the square root of 40 go on a 1-10 number line?​
    5·1 answer
  • How to do this i need help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!