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
mihalych1998 [28]
3 years ago
13

How many different three-digit numbers can be written using digits from the set 5, 6, 7, 8, 9 without any repeating digits?

Mathematics
1 answer:
suter [353]3 years ago
4 0

Answer: 60 different numbers can be formed

Step-by-step explanation:

Note that we have 5 different digits, and we must select 3 of them. They should not be repeated

The order of selection is important in this case, because the number 532 is not the same as the number 235.

So we have a permutations problem, where we have a set of n elements and we want to choose r from them.

Then we define the permutacion as:

nPr=\frac{n!}{(n-r)!}

In this case note that n=5 because there are 5 elements in the set.

r = 3 because we combine the elements to form three-digit numbers

Then:

5P2=\frac{5!}{(5-3)!}

5P2=\frac{5!}{2!}

5P2=\frac{5*4*3*2!}{2!}

5P2=5*4*3

5P2=60

You might be interested in
Please answer thank you
Naddika [18.5K]

Answer:

<h2>45°</h2>

Step-by-step explanation:

they are opposite angles, same value of 45°

6 0
3 years ago
a gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket.if a bike has 36 teeth on the fr
Ber [7]

Answer:

3 : 1

Step-by-step explanation:

ratio = teeth on front sprocket : teeth on rear sprocket

       = 36 : 12 ( divide both parts of the ratio by 12 )

       = 3 : 1 ← in simplest form


5 0
3 years ago
Read 2 more answers
Answer please ASAP!!!!!!
weqwewe [10]
<h3>Answer:  282.6 square units</h3>

====================================================

Work Shown:

r = 3 is the radius of the circular base

h = 12 is the height of the cylinder

pi = 3.14 approximately

SA = surface area of the cylinder

SA = 2pi*r^2 + 2pi*r*h

SA = 2*3.14*3^2 + 2*3.14*3*12

SA = 282.6

3 0
3 years ago
A sprinkler is set to water the section of lawn represented by the shaded region in the circle below
Juli2301 [7.4K]

Answer:

We taking the same final exam

Step-by-step explanation:

I don’t know the answer that’s why I came here

6 0
2 years ago
What is the estimate of 8244 in the hundreds
yanalaym [24]

Answer:

Step-by-step explanation: Go on answer.com if no one knows it on here. Hope this helps!!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester 25% of the
    10·1 answer
  • What is -2 - 5/4x=30
    7·1 answer
  • a lab technician must screen 175 slides under the microscope each week. if she works 7 hours a day, 5 days a week, how many slid
    6·2 answers
  • And isosceles triangle has two equal sides what is the measure of the third angle that will make triangle mno and isosceles tria
    6·1 answer
  • Really need help on #15 please.
    13·1 answer
  • Analyze the diagram below and complete the instructions that follow. <br><br> Solve for y.
    7·1 answer
  • What happens to the value of f(x) = log4^x as X approaches zero from the right
    10·1 answer
  • Cloe, Dixie Doll treasurer, deposits the club’s receipts. She has 4 checks for $10.00 each, 12 for $7.50, and cash consisting of
    7·1 answer
  • I'm having trouble understanding this math problem it's about triangles and my brain doesn't know how to do any of this stuff​
    15·2 answers
  • How many solutions does 9x-4=4+4x have?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!