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
Arlecino [84]
2 years ago
6

How many integers between 100 and 999 (inclusive) have distinct digits

Mathematics
1 answer:
daser333 [38]2 years ago
5 0

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

       

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

You might be interested in
At a bake sell, 3/5 of the baked goods are pies. the rest of the baked goods are the plates of cookies. there are 24 plates of c
vovangra [49]

A: 2/5

B: 24x2= 48+12= 60

C: 4

3 0
3 years ago
Solve by completing the square and show steps <br> x^(2)+6x+5=0
Crazy boy [7]
X ^2 +6x+ 5
(x+2)(x+3)

2 + 3 = 5
While also 2•3= 6
The two numbers have to equal b when multiplied and c when added
4 0
3 years ago
Please help!! i have no idea how to do this
Deffense [45]

Answer:

D:15

Step-by-step explanation:

You divide thirty by two and get 15.

4 0
3 years ago
Read 2 more answers
Write the equation of the line in slope-intercept form using y=mx+b​
AnnZ [28]
It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b

Then as we know it passes the y axis at (0,-3) so b= -3

So we have y=5x-3
3 0
2 years ago
Read 2 more answers
1/3(x-6)=16<br> Please help me out
Alexeev081 [22]

Answer:

\frac{1}{3} (x - 6) = 16) \times 3 \\ x - 6 = 3 \times 16 \\ x = 48 + 6 \\ \color{yellow} \boxed{ x = 54}

6 0
2 years ago
Read 2 more answers
Other questions:
  • Trevor used the time-to-pay-off formula to calculate how many payments it
    13·2 answers
  • 4 red marbles, 6 blue marbles, and 9 yellow marbles. what is the ratio of red marbles to blue marbles
    7·2 answers
  • (03.06 MC)Luke filled the glasses shown below completely with water. The total amount of water that Luke poured into the glasses
    11·1 answer
  • How do you write 680,705 in expanded form??
    6·1 answer
  • The graphs of ​ f(x)=−32x+2 ​ and ​ g(x)=3x−10 ​ intersect at (2, −1)
    9·2 answers
  • Cone radius of 15 mm and a volume of 5890.5 mm3.What is the height of this cone?Show work.PLSSS help...
    11·1 answer
  • (a) The area of a rectangular garden is 3900 m m
    8·1 answer
  • elijah earned $73 for 6 hours. what was his hourly wage? choose the correct one-step equation to represent this situation.
    8·1 answer
  • Two lines, a and b, are represented by the equations given below:
    15·1 answer
  • X+3
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!