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
Tamiku [17]
3 years ago
13

A padlock for your gym locker uses a three number sequence to open the lock. if the numbers go from 1 to 28, how many different

sequences are on the dial without repeating a number?
Mathematics
1 answer:
aalyn [17]3 years ago
8 0

Answer:

19,656

Step-by-step explanation:

Numbers used in locker = 3

Total numbers available = 28

Repetition is not allowed, so one number can be used only once. The order of number matters in the locker e.g. 123 password is not the same as 231. Since, the order of numbers matter, this is a problem of permutations. We need to find the number of different sequences formed with 28 numbers taken 3 at a time. This can be represented as 28P3

The formula for permutations is:

^{n}P_{r}=\frac{n!}{(n-r)!}

For the given case, we will have:

^{28}P_{3}=\frac{28!}{(28-3)!}\\\\ = \frac{28!}{25!}\\\\ = 19656

This means, 19,656 different 3 numbered sequences are possible for the locker.

You might be interested in
Solve for x. Round to the nearest tenth, if necessary.<br> 56<br> Z<br> 43°<br> x<br> M
muminat

Answer:

60 I just did it but if not it's 40

3 0
2 years ago
Solve the system of linear equations -3x+5=13 and x+4y=-10
kari74 [83]

Answer:

(−8/3,−11/6)

Step-by-step explanation:

-3x+5=13 ; x+4y=-10

x=−8/3

and y=−11/6

6 0
3 years ago
Read 2 more answers
What is the correct label <br>of parallel lines
otez555 [7]
Lines that never intersect
6 0
3 years ago
HELP ME PLEASE!!!!!!!!!!!GIVING BRAINLIEST!!!!!!​
poizon [28]

B. y = \frac{1}{2} x + 1

5 0
3 years ago
Read 2 more answers
a store sells grass seed in small bags and large bags.the small bags have 7 pounds of seed for 27.93 and large bags cost 66.98.w
Nonamiya [84]

Answer

Find out the ratio of price to pound for each bag.

To prove

As given

A store sells grass seed in small bags and large bags.the small bags have 7 pounds of seed for $27.93 .

7 pound = $27.93

Now find out the cost for the 1 pound.

1\ pound\ cost= \frac{27.93}{7}

1 pound cost = $3.99

As given large bags cost $66.98.

Now find out pounds in the large bags.

Let us assume that the number of pounds in the large bags be x.

Than

3.99 × x = 66.98

x = \frac{66.98}{3.99}

x = 16.8 pounds (approx)

Now find out the ratio of  price to pound for each bag.

As small bags weight = 7 pounds

Cost of the small bags = $27.93

\frac{Price\ of\ small\ bag}{Cost\ of\ the\ small\ bags} = \frac{27.93}{7}

As large bags weight = 16.8 pounds

Cost of the large bags = $66.98

\frac{Price\ of\ large\ bag}{Cost\ of\ the\ large\ bags} = \frac{66.98}{16.8}

Hence proved


7 0
3 years ago
Other questions:
  • theo had a balance of -$4 in his savings account.after making a deposit, he was $25 in his account. what is the overall change t
    11·2 answers
  • Which sentence best describes the end behavior of the function shown
    7·1 answer
  • Is this a function? Yes or No?
    8·2 answers
  • How many eighth rests are in a half rest?
    9·1 answer
  • Simplify 2x4 a_3 =16a÷8 1_a​
    9·1 answer
  • ASAPPPPPP PLEASE HELP MEEEEEEEEEEEEEEEEEEEE
    10·1 answer
  • The daily cost of hiring a superhero, y, to work x hours of saving people
    6·1 answer
  • Which polynomial is a perfect square trinomial?
    6·2 answers
  • 9. Write the equation that expresses the table below.
    8·1 answer
  • a man is now 9 times as old as his daughter. in four years time he'll be five times as old as his daughter. what are their prese
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!