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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

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An office building has 123 floors. The floors are 3.8m apart.
sineoko [7]

Answer:

345.8 meters

Step-by-step explanation:

Given that :

Distance between floors = 3.8 m apart

Moving from floor 32 to the top

Number of floors moved = 123 - 32 = 91 floors

Distance traveled :

Distance between floors * number of floors moved

3.8 m * 91 = 345.8 meters

3 0
3 years ago
Graph the linear equation and answer each of the following questions. y=-2x-3
ollegr [7]

Answer:

Part 1) The y-intercept is the point (0,-3)

Part 2) The slope in fraction form is m=-\frac{2}{1}

Part 3) The graph in the attached figure

Step-by-step explanation:

we have

y=-2x-3

Part 1) What is the y-intercept?

Remember that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

substitute in the linear equation and solve for y

y=-2(0)-3\\y=-3

The y-intercept is the point (0,-3)

Part 2) What is the slope (in fraction form)?

we have

y=-2x-3

This is the equation of the line in slope intercept form

y=mx+b

where

m is the slope or unit rate

b is the y-intercept

so

m=-2

In fraction form is

m=-\frac{2}{1}

The slope is negative, that means, is a decreasing function (as the x-values increases the y-values decreases)

Part 3) Graph the line

To graph the line we need two points

From the y-intercept (0,-3) use the slope to find your next point

The slope is -2, so you will rise -2 (2 units down) and run 1 (1 unit to the right).

The next point is (0+1,-3-2) -----> (1,-5)

so

Plot the points (0,-3) and (1,-5), connect them and graph the line

The graph in the attached figure

4 0
3 years ago
Frank is going to plant x vegetable seeds in one garden and 3x+2 vegetable seeds in another. How many seeds is frank going to pl
LekaFEV [45]

Answer:yeet yeet skeet skeet

Step-by-step explanation:

3 0
2 years ago
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Assume that y varies inversely as x. If y=6 when x=-4, find x when y= 12/5
yawa3891 [41]
This answer is : Y=2.4
3 0
2 years ago
In preparation for the holiday season, Big Bird Co. decided to increase production of stuffed Bert characters by 30%.
marin [14]

Answer:

the additional characters will the factory creating per day is 105 characters

Step-by-step explanation:

The computation of the additional characters will the factory creating per day is shown below

= Number of character produced × (1 + increased percentage)

= 350 × (1 + 0.30)

= 350 × 1.30

= 455 characters

Now the additional characters would be

= 455 - 350

= 105 characters

hence, the additional characters will the factory creating per day is 105 characters

3 0
2 years ago
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