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
Rudik [331]
2 years ago
13

Elias was given a lock for his school locker. The lock contains numbers between

Mathematics
1 answer:
daser333 [38]2 years ago
6 0

Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.

You might be interested in
Find the value of x<br><br> 3(x-4)
antoniya [11.8K]
3x-12 is simplified from parenthesis
7 0
3 years ago
Plz help I have been struggling on this one
tamaranim1 [39]

the first answer is 93000000 and the second answer is 240000

4 0
3 years ago
Evaluate g(n- 7) if g(x) = x^2-6/7x
noname [10]

Step-by-step explanation:

g(n-7) = (n-7) ^2-6/7 (n-7) = n^2 -14n+49-6/7 n +6= n^2-104/7 n +55

5 0
3 years ago
25 kids took a math test. If 20 kids passed the test, what percent of kids did not pass the test?
nata0808 [166]

Answer: 20%

Step-by-step explanation:

25 = 100%

25/5 = 5

100/5 = 20

That means 80% passed and 20% didnt.

4 0
3 years ago
Read 2 more answers
Lindsay paid $90 for five hours of work how much is she paid per hour
kodGreya [7K]

Answer:

18$ you're welcome!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the system of equations by substitution. x + y = A system of equations. StartFraction 3 over 8 EndFraction x plus StartFra
    9·2 answers
  • Inverse functions always go in the same direction as the original function. true or false?
    14·1 answer
  • Which description best fits the graph?
    5·1 answer
  • D
    8·1 answer
  • |4x - 2| = 10
    8·1 answer
  • Tanya has a $50 gift card to spend on Amazon. She wants an airpod case cover for $12.
    15·1 answer
  • Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their
    12·1 answer
  • It's nothing new: Let's recap rounding to the nearest 100<br>61566=<br>70284=​
    8·1 answer
  • A square vegetable garden has side lengths of 9 feet. You plant flowers i
    5·1 answer
  • Which equation shows the commutative property of addition?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!