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
Nata [24]
3 years ago
7

How many ten-digit numbers have at least two equal digits?

Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

8,996,734,079 numbers

Step-by-step explanation:

First let's find the number of ten-digit numbers.

The maximum ten-digit number is 9,999,999,999 and the minimum is 1,000,000,000. So the number of ten-digit numbers is:

N(total) = 9999999999 - 1000000000 = 8,999,999,999

Now, to find the number of ten-digit numbers with at least two equal digits, we can find the number of ten-digit numbers with all digits different, and then subtract this amount from the total ten-digit numbers.

To find the number of ten-digit numbers with all digits different, we can use the following logic:

The first digit can have 9 different values (0 not included), the second can also have 9 (one digit used), then the third can have 8 (two digits used), the fourth can have 7, and so on. So we have that:

N(different) = 9*9! = 3,265,920

Then the number of ten-digit numbers with at least two equal digits is:

N(two\ equal) = N(total)-N(different) = 8999999999 - 3265920

N(two\ equal) = 8,996,734,079

You might be interested in
When he was little, Miguel could not sleep without his Captain Terrific action figure. It looked so life-like because it was a p
krok68 [10]
The answer is:
216×0.93÷10=20.088
5 0
3 years ago
Read 2 more answers
-5x-(8-x)=12 how do I solve this problem.<br> show a step by step please in a balance problem
Alex

Answer:

x = -5

Step-by-step explanation:

to evaluate for x in this this question -5x-(8-x)=12

the firsst step, you would open the bracket with - then evaluate for the value of x

solution

-5x-(8-x)=12

-5x -8 + x = 12

combine the like terms

-5x + x = 12 + 8

-4x = 20

divide both sides by the coefficient of x

-4x/-4 = 20/-4

x = -5

5 0
3 years ago
Find the next three terms in the sequence. 3, 9, 27, 81
Aliun [14]

Answer:

243

Step-by-step explanation:

3*3=9*3=27*3=81*3=243*3 etc

4 0
2 years ago
Read 2 more answers
What happens to the inequality symbol when you multiply or divide each side by a positive number?
Pani-rosa [81]
If you multiply or divide by a positive number the inequality sign DOES NOT CHANGE!

If you multiply or divide by a negative number the inequality sign flips around and becomes the opposite.
3 0
2 years ago
Tom's statement shows a previous balance of $2452.64 a payment of $160 a new transactions totaling $138 what is his new balance
Gemiola [76]

His new balance will be $805.8915

<span>4332.75 * 18.6%</span>

4 0
2 years ago
Read 2 more answers
Other questions:
  • Would be awesome to have help
    11·2 answers
  • Carolina goes to a paintball field that charges an entrance fee of \$18 and $0.08, per ball. The field has a promotion that says
    14·1 answer
  • Help me please!!!
    5·1 answer
  • The perimeter of the flag is 2080 ft what is the flags width and length of the length is 420 ft greater than the width
    8·1 answer
  • Circumference and area of 7ft​
    6·1 answer
  • Geometry- I need an answer for x and y.
    13·2 answers
  • Three uniform shirts sell for $34.50. How much will 5 uniform shirts cost?
    7·2 answers
  • Please help quick! last question on my hw.
    12·1 answer
  • Please thank my profile!
    8·2 answers
  • Graph the image of △UVW after a reflection over the line y=-x
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!