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
Rasek [7]
3 years ago
10

The newly elected president needs to decide the remaining 7 spots available in the cabinet he/she is appointing. If there are 13

eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

r = number of options to be selected.

Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

13C7 = 1716.

Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640

You might be interested in
I need some homework help please.
vlada-n [284]
I think the person on top got you with the answer
5 0
3 years ago
Read 2 more answers
At the beginning of my bike ride I feel good, so I can travel 20 miles per hour. Later, I get tired and travel only 12 miles per
Vesnalui [34]

Answer: 3\dfrac{1}{4} hours

Step-by-step explanation:

Let x be the time ( in hours ) you feel good and y be the time ( in hours ) that you get tired.

As per given , we have

x+y= 8

Since : Distance = Speed\times Time

So , we have

20x+12y=122

According to the given question , we have the following system of equations ,

x+y= 8--------(1)\\\\20x+12y=122------------------(2)

Multiply 12 on both sides of equation (1) , we get

12x+12y=96------------(3)

Eliminate equation (3) from (2) , we get

8x=26\\\\\Rightarrow\ x=\dfrac{13}{4}=3\dfrac{1}{4}

Hence, you felt 3\dfrac{1}{4} hours good.

3 0
3 years ago
Question 11
PtichkaEL [24]

Answer:

65%

Step-by-step explanation:

5 0
3 years ago
Which expression has a value that is equivalent to 5n+13 when n= -15
Rasek [7]
Which expression has a value that is equivalent to 5n+13 when n=-15? n^2+13x 








6 0
3 years ago
Read 2 more answers
the blue mountain high school drama club is selling tickets to their spring musical. adult tickets are $4 an student tickets are
Mazyrski [523]

Answer:

3454

Step-by-step explanation:

÷÷1/2=××/×/2223=×=×=÷

22÷3××÷÷

2÷=1=×+=××/

×$÷×=×2

2÷2÷/3=×

3 0
3 years ago
Other questions:
  • Ninety-three passengers rode in a train from City A to City B. Tickets for regular coach seats cost $115. Tickets for sleeper ca
    11·1 answer
  • A restaurant advertises that its burritos weigh 250 g 250 g250, start text, space, g, end text. A consumer advocacy group doubts
    7·1 answer
  • The formula for the volume of a cone is . find the radius, to the nearest hundredth, of a cone with a height of 3 in. and a volu
    13·1 answer
  • A square playground has an area of 900 square feet. What is the length of each side of the playground
    6·2 answers
  • A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
    7·2 answers
  • Question 2
    10·1 answer
  • Help a gorl out y’all
    12·1 answer
  • The weather was a youth soccer field must be at least 45 m but it cannot exceed 60 m right to inequalities that describe the wid
    7·1 answer
  • What is the volume of the cylinder below?
    7·1 answer
  • Determine which relation is a function.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!