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
Murljashka [212]
3 years ago
7

In one year, three awards (research, teaching, and service) are given to a class of 25 graduate students in a statistics departm

ent. If each student can receive at most one award, how many possible selections are there?
Mathematics
1 answer:
allochka39001 [22]3 years ago
3 0

Answer:

13,800

Step-by-step explanation:

This is a permutation, not a combination, because order matters.

Here's why:

Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.

Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.

Since we're choosing three people to give awards to, there are:

25\cdot 24\cdot 23=\boxed{13,800} permutations. Because order matters (refer to explanation above), this is our final answer.

You might be interested in
There are two calculus classes at your school. Both classes have a class average of 75.5. The first class has a standard deviati
Korvikt [17]
To compare the two classes, the Coefficient of Variation (COV) can be used. The formula for COV is this:
C = s / x
where s is the standard deviation and x is the mean
For the first class:
C1 = 10.2 / 75.5
C1 = 0.1351 (13.51%)

For the second class:
C2 = 22.5 / 75.5
C2 = 0.2980 (29.80%)

The COV is a test of homogeneity. Looking at the values, the first class has more students having a grade closer to the average than the second class.
4 0
2 years ago
The ratio of men to women working for a company is 3 to 4. If there are 112 women working for the company, what is the total num
Andrews [41]
112 / 4 = 28

28 x 3 = 84

There are 84:112 men to women working for the company.
3 0
2 years ago
Read 2 more answers
Simplify.
Alexus [3.1K]

Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

6 0
1 year ago
Read 2 more answers
Janice is standing 15m form the base of a building. From the point where she is standing, the angle of elevation of the top of t
Alenkasestr [34]

Answer:

the building is 28m

Step-by-step explanation:

3 0
3 years ago
Veronica is saving money to by a saddle for her horse that costs 175 . She plans to save $10 the first month and then increased
Anon25 [30]
You will start off with $175-$10=$165. Then you will take your $165 and divide by $15 to get the answer. $165÷$15=11 months to save the money.
6 0
3 years ago
Other questions:
  • The cowboy rode into town on friday stayed there for 3 days and left on friday how can that be
    15·2 answers
  • You have 800 quarter inch long beads if u use them to make all 16 bracelets what will be the rage of beads per bracelet
    9·2 answers
  • Why is the periodic table called the "alphabet of the universe”
    14·1 answer
  • The factors of a quadratic function are 2x-3 and x-3. what is the axis of symmetry of this function?
    9·1 answer
  • Select all that apply
    14·1 answer
  • I need to translate it pls help (algebra)
    9·2 answers
  • Identify the variables: 8c * 7c - 10p + 12
    6·1 answer
  • A real estate agent receives 2.5% commission on the sale of each house. How much commission will the agent earn on the sale of a
    7·1 answer
  • Identify the two equations that have no solution?
    13·1 answer
  • James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!