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
fiasKO [112]
3 years ago
14

In a sheet metal operation, three identical notches and four identical bends are required. If the operations can be done in any

order, how many different possible sequences are there to complete the manufacturing?
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

<h2>There are 5040 different possible sequences.</h2>

Step-by-step explanation:

Three identical notches and four identical bends are required in the sheet metal operation.

In total 7 things are required in the metal operation.

We can think it as we need to put the 3 notches and 4 bends in 7 places.

First, lets put the 3 notches in 3 places.

In order to do so, we need to choose 3 places from the 7 places.

We can choose 3 places in \frac{7!}{3!\times4!} = \frac{5\times6\times7}{6} = 35 ways.

The 3 notches can be arrange in 3! = 6 ways.

The 4 bends can arrange in 4! = 24 ways.

Thus, in total 35\times24\times6 = 5040 different possible sequences.

You might be interested in
How to define trigonometric ratios
Cloud [144]
They are ratios of two sides of a right triangle and a related angle. Trigonometric functions are typically used to calculate unknown lengths or angles in a right triangle.
4 0
3 years ago
8x+3y=18
Minchanka [31]

Step-by-step explanation:

8x+3y=18

subject y according y=mx+c

y=8/3x-6

(-9,-13)

substitute -9 to y=8/3x-6

-13=8/3×(-9)+c

11=c

y=8/3x+11

3 0
3 years ago
Lena drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Lena drove h
tekilochka [14]
I believe the answer is 88
7 0
2 years ago
6.5x-10=4.5x+6 can someone give a step by step answer plz
Trava [24]

Collect like terms
6.5x-4.5x = 6+10
2x = 6+10
Divide both sides
2x = 16
X= 8
7 0
2 years ago
Read 2 more answers
Craig has a rectangle wooden deck that measures 799 inches by 245 inches that he wants to put a string of lights around. What le
tino4ka555 [31]

Answer:

He should buy lights that are 2088 inches long

Step-by-step explanation:

Craig has a rectangle wooden deck that measures 799 inches by 245 inches.

Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.

He wants to put a string of lights around the deck.

This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.

The perimeter of a rectangle is given as:

P = 2(L + B)

Hence, the length of lights he should buy is:

P = 2(799 + 245) = 2(1044)

P = 2088 inches

He should buy lights that are 2088 inches long.

5 0
3 years ago
Other questions:
  • Which could be a conditional relative frequency table? A 4-column table with 3 rows. The first column has no label with entries
    10·2 answers
  • What is the value of c in the equation below?<br><br> please answer quick
    5·2 answers
  • Pleaseeee help!!! I will mark you as brainlinest for correct answer!!!
    6·1 answer
  • Item 16 A scale drawing of a triangular sign has a scale factor of 1:8. Which statements are true? The ratio of the area of the
    6·1 answer
  • The cone shown has a diameter of 18 meters and a slant height of 15 meters. Which choice is the closest to the lateral surface a
    11·1 answer
  • Multiply &amp; Simplify.
    5·1 answer
  • Lmk lmk i need answer asap
    15·2 answers
  • Brian, Pip and Sara share some sweets in the ratio 4:3:1. Brian gets 60 sweets. How many did
    8·1 answer
  • If you're looking for a sign to not ky.s today this is it
    10·1 answer
  • PLEASE HELP WHAT IS THE DOMAIN AND RANGE OF THIS GRAPH
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!