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
kotykmax [81]
1 year ago
8

A lock has a three number code made up of 17 numbers if none of the numbers are allowed to repeat how many different ways can yo

u choose three different numbers in order for unit code?
Mathematics
1 answer:
Marrrta [24]1 year ago
8 0

Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose k=3 numbers out of n=17 possible numbers and find the total amount of combinations since order does not matter:

\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680

Thus, you can make 680 three-non-repeating-number codes

You might be interested in
If you were constructing a TRIANGULAR FRAME, and you had wood in the length of 4 inches, 4 inches, and 7 inches, would it make a
Yuri [45]

Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.


Step-by-step explanation:

The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

The given sides of the triangle is 4 inches, 4 inches, and 7 inches.

Here,

4+4=8>7\\7+4>4

So by triangle inequality, a triangle with sides   4 inches, 4 inches, and 7 inches. is possible.

Since it has two equal sides as 4 inches , then it must be an isosceles triangle.

3 0
3 years ago
Read 2 more answers
2x - 4y = 24<br><br><br> Solve for Y.
ankoles [38]

Answer:

y= -6+\frac{x}{2}

Step-by-step explanation:

Please make me Brainliest

6 0
2 years ago
715thousands, 34tens 715034
Ede4ka [16]
Incorrect it would be 34ONES
5 0
2 years ago
in recent year, the world production of wheat was about 5.2 *10^8 metric tons. Canada produced 1/25 of this wheat. about how muc
liubo4ka [24]
To find wheat produced by Canada we have to  multiply 5.2*10^8 times 1/25
So 5.2*10^8*1/25=20 800 000= 2.08*10^5 metric tons. - the result.
7 0
2 years ago
What’s the Distributive Property to express 15 plus 45
Andrews [41]

15 plus 45 expressed in distributive property is 15 \times 1 + 3 \times 15 = 15(1 + 3)

<em><u>Solution:</u></em>

We have to write distributive property to express 15 plus 45

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

<em><u>The distributive property can be generally expressed as follows: </u></em>

ab + ac = a(b + c)

<em><u>The given expression is: </u></em>

15 + 45

This can be expressed as:

15 = 15 \times 1

45 = 3 \times 15

<em><u>Therefore, the given expression can be written as:</u></em>

15 + 45 = 15 \times 1 + 3 \times 15

Taking 15 as common factor,

15 \times 1 + 3 \times 15 = 15(1 + 3)

Thus the above expression is of distributive form

4 0
3 years ago
Other questions:
  • The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of
    10·1 answer
  • You are at a shop and you steal $100 from the cash register. The cashier doesn't see you steal it. You come back 5 mins later. Y
    11·2 answers
  • A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
    9·1 answer
  • Get fit gym charges a yearly fee of $250 plus $10 for each session with a personal trainer. Tight N' Toned gym charges a one tim
    6·1 answer
  • Need help on 12 and 11!! Hurry!!
    15·1 answer
  • Rita ha decidido emprender un negocio de ventas de productos de protección personal, para lo cual tiene que inventir 1/3 de su d
    9·1 answer
  • −k+2(−2k−5)<br> Simplify <br> Will give brainliest
    13·1 answer
  • I will make brainlist if someone did an explanation.
    14·1 answer
  • The new TCL LED TV at Best Buy is regularly $299.
    6·2 answers
  • Jan needs 1/3 of chocolate chips to make cookies and 3/4 cup to make brownies. How many cups does she need altogether?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!