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
Vladimir [108]
2 years ago
11

In a race in which twelve automobiles are entered and there are no​ ties, in how many ways can the first three finishers come​ i

n?
Mathematics
2 answers:
Ostrovityanka [42]2 years ago
5 0

Answer:

1320 ways

Step-by-step explanation:

In a race in which twelve automobiles are entered and there are no ties.

We have to find the ways in which first three finishers come in.

In these questions when order is fixed means when first, second and third positions are fixed (First comes, then second and then third) then we use the permutation to find the number of ways.

3 positions out of 12 automobiles = ^{12}P_{3}=\frac{12!}{(12-3)!}

= \frac{12!}{9!}

= \frac{(12)(11)(10)(9!)}{(9!)}

= 12×11×10

= 1320

In 1320 ways first three automobiles may come in.

k0ka [10]2 years ago
3 0
That is 3 slots
12 in 1st slot
11 in 2nd
10 in 3rd

so that is 12*11*10 or 1320 ways
You might be interested in
Prove the equation above is equal​
MA_775_DIABLO [31]

Answer:

please look at the attached picture and I hope you understand because I made it really easy to understand

4 0
3 years ago
Triangles are congruent is they have the same ?
11Alexandr11 [23.1K]
Shape and size. Hope this helped
5 0
2 years ago
Read 2 more answers
Mario invested $5100 $ ⁢ 5100 at 13% 13 % to be compounded daily. What will be the value of Mario's investment in 2 2 years? Rou
Gennadij [26K]

Answer:

lets see

Step-by-step explanation:

5 0
3 years ago
the number in each block is the sum of the numbers in the two blocks beneath it. Some of the numbers are hidden. What is the val
m_a_m_a [10]

Answer:

y - x = 69

Step-by-step explanation:

From the figure attached,

Number in each block is the sum of the numbers in the block beneath it.

Therefore, A + 21 = 32 ⇒ A = 11

A + 5 = B ⇒ B = 16

C = 5 + x

D = 32 + B ⇒ D = 32 + 16 = 48

E = B + C ⇒ E = 16 + (5 + x)

               ⇒ E = 21 + x

y = D + E ⇒ y = 48 + (21 + x)

                   y = 48 + 21 + x

                   y = 69 + x

              y - x = 69

Therefore, y - x = 69 will be the answer.

8 0
2 years ago
What is the intermediate step in the form (x+a)^2=b as a result of completing the following equation? Please help.
aksik [14]

Answer:

(x+8) ^2=64

Step-by-step explanation:

that will give you your two solutions: x= -16 and x=0. I hope this helps!!!

8 0
2 years ago
Other questions:
  • What is the range of this?
    7·1 answer
  • How many times can 90 go into 3?
    5·2 answers
  • 18x^2-2 factor completely
    6·1 answer
  • The slopes of LM and HN both equal 0. What can you conclude about the segments
    9·2 answers
  • What is the perimeter of 36?
    9·2 answers
  • How many real roots does the quadratic function f(x)= -5x^2 have?
    6·1 answer
  • Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Ch
    13·1 answer
  • 1.4 – ( ___ ) = 2<br> Pls hurry plz
    10·2 answers
  • In "The Emperor's New Clothes" what does the opening tell you about the characters?
    9·1 answer
  • HELPP PLEASE!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!