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
tatyana61 [14]
3 years ago
9

There are 50 runners in a race. How many ways can the runners finish first, second, and third?

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : P(n,r) = \frac{n!}{(n-r)!} where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

⇒ P(n,r) = \frac{n!}{(n-r)!}

⇒ P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}

⇒ P(50,3) = 50(49)(48)

⇒ P(50,3) = 1,17,600

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

You might be interested in
Use similar figures to solve for X.<br> X<br> 24<br> 30<br> 10
Strike441 [17]

Answer:

X=8

Step-by-step explanation:

24×10=30X

240=30X

Divide by 30

X=8

6 0
2 years ago
The carpet in Nadira’s room is 7.5 cm from the center of her room to the wall. What is the area of the circular carpet?
Gennadij [26K]

Answer:

176.71cm^2

Step-by-step explanation:

Area of a circle is pi*radius^2

your radius is given to you, which is 7.5

pi*7.5^2 in a calculator gives you 176.71

5 0
2 years ago
A credit card company has found that 0.1% of all transactions are fraudulent. It has developed a computer program that correctly
Serjik [45]
Given:
0.1% of all transactions are fraudulent
99% correct identification whether a transaction is fraudulent or not.
Scanned 5,000,000 transactions.

5,000,000 x 0.1% = 5,000 fraudulent transactions.

For me, there are 5,000 fraudulent transactions. This is based on the 0.1% rather than the 99%. Because the problem clearly states that the 0.1% of ALL transaction is identified as fraudulent. The 99% of the computer program only deals with the correct identification of the transaction as either fraudulent or not. For me, it is not a clear measure of the true number of fraudulent transactions.
7 0
3 years ago
Read 2 more answers
The fourth term of an AP is 13 and the second term is 3 find the common difference<br><br>​
kogti [31]

Answer:

5

Step-by-step explanation:

<h3>Given</h3>

<u>In and AP</u>

  • a4 = 13
  • a2 = 3
  • d = ?
<h3>Solution</h3>

<u>Formula for the terms of AP:</u>

  • a4 = a + 3d
  • a2 = a + d

<u>The difference of terms:</u>

  • a + 3d - (a - d) = 13 - 3
  • 2d = 10
  • d = 5
3 0
3 years ago
What is 5.5 : 6.5 as a simplified fraction?
Nat2105 [25]

Answer:

5.5 = 5.5 = 55 1/2

6.5 = 6.5 = 66 1/2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which angle corresponds to the point (-1,0) on the Unit Circle?
    12·1 answer
  • 5 to the 4th power times 10 to the 4th power
    14·2 answers
  • Need 27/75 turned into as a decimal
    5·1 answer
  • If something is marked down 40% what expression in a new retail price
    12·1 answer
  • Which of the following describes the zeros of the graph...​
    10·1 answer
  • Your text suggests that you look for an agent who has been in the insurance business for how long?
    13·2 answers
  • EXPERTS/ACE/GENIUSES HELP PLZ!!:)
    14·1 answer
  • Please help marking like brainlist
    12·2 answers
  • W(n)= -n-2; Find w(10)
    11·2 answers
  • Two less than five times a number is equal to 10 more than seven times the number. What is the number?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!