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
Alina [70]
3 years ago
7

In a race between 18 people, how many ways can the top 5 finishers be arranged?

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

Step-by-step explanation:

This is permutation, since order matters.  The formula for us is

₁₈P₅ = \frac{18!}{(18-5)!} which simplifies to

₁₈P₅ = \frac{18*17*16*15*14*13!}{13!}

The factorial of 13 cancels out on the top and bottom leaving you with

₁₈P₅ = 18 × 17 × 16 × 15 × 14

which comes to 1,028,160 ways

Another way to look at it is:  the first 5 people of 18 finish and the others you don't care about.  Once the first place person is first, there are only 4 of the 18 left to finish in second place.  Then there are only 3 left to finish in third place, etc.  So if we use that reasoning, we don't even need to use the formula, we can just say

18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.

You might be interested in
Which of the following is equivalent to the expression below for x≠6?
nata0808 [166]

Answer:

The fourth answer choice is the correct one:  2(x - 3)

Step-by-step explanation:

2x²-18x+36/x-6 should be factored, as follows:

2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)

Substituting x = 6 would result in division by zero and is thus not allowed.

Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.

6 0
3 years ago
Tony plans to run a 5,000-meter fun run at a constant rate of 250 meters per minute. He uses function f to model his distance fr
kramer

Answer:

Option A.

Step-by-step explanation:

Based on the information provided on the question

the function used to model Tony's run is:

f(x) = -250*x  + 5000

This means that after x = 20 minutes, Tony will arrive to the finish line

f(20) = -250*(20)  + 5000 = -5000 + 5000 = 0

The function is always decreasing, because we are dealing with a line with negative slope.

Option A.

8 0
3 years ago
Read 2 more answers
Last week joe drove his truck 4,563.8 miles. That brought the truck's total mileage to 99,999 miles. What was the truck's total
adell [148]

Answer:

95435.20 miles

Step-by-step explanation:

just add them both together

7 0
3 years ago
P(x)-x^4-3x^2+kx where k is an unknown integer.
timurjin [86]

Answer:4

Step-by-step explanation:

P(2)

(2)

4

−3(2)

2

+k(2)−2

16−3⋅4+2k−2

2+2k

2k

k

​

=10

=10

=10

=10

=8

=4

​

5 0
3 years ago
Mr. snorkel drove 169 miles in 3 h 30 min. find the rate in feet per second.
mars1129 [50]
Simple...

3 hours 30 min--->>>3.5

\frac{169}{3.5}=48 (rounded)

Thus, your answer.
7 0
3 years ago
Other questions:
  • What's 35 minutes in a fraction
    8·2 answers
  • Four less than the product of one and number x
    6·1 answer
  • A true-false test contains 18 questions. In how many different ways can the 18- question test be answered?
    14·2 answers
  • How to write twice the sum of a number and 9 equals 7 ?
    9·1 answer
  • Akar akar persaman 3x^2+x-4=0 adalah
    14·2 answers
  • What is the approximate area of the triangle?
    10·1 answer
  • Find the slope of the line through the given points.<br><br> (1,2), (-3,2)
    6·2 answers
  • Find the Solution of the equation -2x + 7 = 7
    9·1 answer
  • Which best fits in those boxes to find 46x93?
    15·2 answers
  • 1st Generation is 1 person
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!