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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
A store advertises 15% off an item that regularly sells for $300.
nataly862011 [7]

Answer:

The sale price of the item is  $ 255

Step-by-step explanation:

To determine the amount of discount ( d ) offered by the store, we calculate  

15 %  of the sale price. Thus:

d =  300  ×  15 ÷ 100

d  =  3 00  ×  15  ÷ 1 00  (take the 2 zeros out on both the hundred and 3 hundred)

d  =  3  ×  15

d  =  45

If the amount of discount is known, the sale price ( s ) of the item will be the regular price minus the discount. Hence:

s  =  300  −  45

s  =  255

Hope this helps you! If not sorry!

8 0
2 years ago
LoneWolves or anyone plz help me with this math question! I promise I'll mark u brainliest for the absolute right ANSWER
jeyben [28]

Answer:

8 ft^2

Step-by-step explanation:

\frac{h1}{2ft} =\frac{h2}{3ft} \\\\

area of ABC is:

A= \frac{(3ft)(h2)}{2}

area of ABC is 18 square ft, then

h2 = \frac{(area)(2)}{3ft} = \frac{(18 ft^2)(2)}{3ft} =12ft

now you can find h1 and the area for EFG

6 0
3 years ago
Read 2 more answers
Please help Im giving 25 points
Alex787 [66]
It’s 5/7 5/8 I did the math
6 0
3 years ago
Read 2 more answers
If the Cost price of the an article is greater than the selling price, we have a ____?​
Olegator [25]

Answer:

loss

Step-by-step explanation:

Selling an item for less than was paid gives a loss

Selling an item for more than was paid gives a profit

4 0
3 years ago
4
const2013 [10]

Answer:

the third

Step-by-step explanation:

your photo is not clear, and your explanations for your question is not clear also.

as we are tackling the substraction and the addition questions between matricxs.We could simply +/- every number correspondingly.

4 0
3 years ago
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