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
what is the area of the polygon given below A.) 120 sq units B.) 180 sq units C.) 90 sq units D.) 60 sq units
SashulF [63]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the area and perimeter of this shape?
KatRina [158]

The perimeter of the shape is 43 centimeters. The area is 48 centimeters.

8 0
3 years ago
I NEED HELP ASAP !! IF YOU ANSWER WITHOUT ACTUALLY ANSWERING AND ONLY FOR POINTS YOU WILL BE REPORTED!!
Kipish [7]

Answer:

D for the first one and the second one

Step-by-step explanation:

i learned this trust me

3 0
3 years ago
Read 2 more answers
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
icang [17]

Step-by-step explanation:

(2 × 1/2 × 20 × 15) + (16 ×15) + (20 × 16) + (25×16)

300 + 240 + 320 + 400 = 1260 ft²

8 0
3 years ago
Is 4.95 a terminating decimal
Snowcat [4.5K]

Answer:

Definitely

since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A company president flew 990 miles in a corporate jet but returned in a smaller plane that could fly only half as fast. If the t
    7·1 answer
  • Simplify (x^-2y^6/x^-4y^8)1/2
    10·1 answer
  • Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
    11·2 answers
  • Write the equation of a parabola with vertex (2,-1) and directrix y=-3
    14·1 answer
  • What is the surface area of a sphere with a radius of 30m?
    15·1 answer
  • A scuba diver dove (-50) feet deep into the water. After every 2 minutes he rose (+2) feet toward the water surface. How deep in
    14·1 answer
  • What is the value of x?
    11·1 answer
  • PLEASE HELP, MUST SUBMKT TEST ASAP!!!!!
    15·1 answer
  • Use mental math to solve the equation n − 4 = 12.
    14·2 answers
  • NEED HELP ASAP WILL GIVE BRAINLY
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!