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]
3 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]3 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]3 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
48 is what percent of 120?
Nataliya [291]

Answer:

Step-by-step explanation:

57.6

8 0
2 years ago
Read 2 more answers
Helena Bought envelopes of flowers seeds that each cost the same. She spent a total of $36 . Find 3 possible costs per envelope
Irina-Kira [14]
1. She could get 9 envelopes for 4 dollars each (or the other way around)

2. She could get 12 envelopes for 3 dollars each (or the other way around)

3. She could get 18 envelopes for 2 dollars each (or the other way around)
8 0
3 years ago
How many zeros should have 5 to have 72 dividers?
xenn [34]
Hello,

nice as problem.

| If\ a\ number\ x=a_1^{p_1}*a_2^{p_2}*a_3^{p_3}*....*a_n^{p_n}\\ the\ number\ of\ his\ dividers is:\\{p_1+1}*{p_2+1}*{p_3+1}*....*{p_n+1}
Here x has a power of 5 as divider and a power of 2 as divider (in order to make a power of 10.

5=5^1*2^0

50=5^1*(5^1*2^1)=5^2*2^1

500=5^1*(5^2*2^2)=5^3*2^2

50 000 000=5^8*2^7

Numbers of dividers: (8+1)*(7+1)=9*8=72








3 0
3 years ago
BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?
abruzzese [7]

Answer:

i would go for a but im not really sure. sorry if incorrect

Step-by-step explanation:

3 0
3 years ago
Solve for x x-4=-7. Please
Alecsey [184]

Answer:

-3

Step-by-step explanation:

x - 4 = - 7

Carry over the - 4 and make x the subject.

x= - 7 + 4

x= - 3

Therefore x is - 3

8 0
3 years ago
Other questions:
  • Write each percent as a fraction in simplest form <br> 45 1/2%
    10·1 answer
  • Three people own all of the stock in a company.one person owns 1/3 of the stock.which of the following could be the fractional p
    14·1 answer
  • Luisa mows lawns during the summer.  She charges $15 if she cuts the grass but charges $5 more if she also trims the grass.  Las
    11·2 answers
  • This figure is made up of two rectangular prisms.
    5·1 answer
  • I need help with this problem. Please answer and explain! (Ignore selected answer)
    11·1 answer
  • I just need help with 3-6 (explain answers please)
    8·1 answer
  • Lucas is riding his bike to the park which is 2 kilometersfrom his house. When he is one-fourth of the way tothe park, it starts
    8·1 answer
  • If p=7,q=5,r=3 find value of p2+q2-r2<br>​
    13·2 answers
  • 15 lb 7 oz - 6 lb 8 oz
    8·1 answer
  • 7y + 2x − 10y + 3x2 − 10x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!