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
Korolek [52]
2 years ago
9

​(A) How many ways can a 3​-person subcommittee be selected from a committee of 6 ​people? ​(B) How many ways can a president co

mma vice dash president comma and secretary be chosen from a committee of 6 ​people?
Mathematics
1 answer:
Zepler [3.9K]2 years ago
6 0

Answer:

A) N = 20 ways

a 3​-person subcommittee can be selected from a committee of 6 ​people in 20 ways.

B)N = 120 ways

The president, vice president and secretary can be chosen from a committee of 6 ​people in 120 ways.

Step-by-step explanation:

A) the number of ways a 3​-person subcommittee be selected from a committee of 6 ​people N;

Since there is no given order for the selection, this means that the order of selection is irrelevant. Therefore, this is a combination problem where order is not considered.

N = nCr

N = 6C3

N = 6!/3!(6-3)! = 6!/3!3!

N = 720/(6×6)

N = 20 ways

a 3​-person subcommittee can be selected from a committee of 6 ​people in 20 ways.

B) the number of ways a president, vice president and secretary can be chosen from a committee of 6 ​people N;

In this case, there is a given order of selection for the 3 posts. This is a permutation.

N = nPr

N = 6P3

N = 6!/(6-3)!

N = 6!/3!

N = 120 ways

The president, vice president and secretary can be chosen from a committee of 6 ​people in 120 ways.

You might be interested in
A box in the shape of a rectangular prism has a dimension of 30 meters x 27 meters x 28 meters what is the surface area of the b
erastovalidia [21]
Your answer would be <span> 4812 m².</span>
5 0
2 years ago
Write the equation of the line that has a slope of -3/2 and passes through (4, -3)
GREYUIT [131]

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + b

-3 = -3/2(4) + b

-3 = -6 + b

3 = b

8 0
2 years ago
Y = 2000-(1.05)
Aleonysh [2.5K]

Answer:

What is your initial value? 2000

Does this function represent exponential growth or exponential decay? Exponential growth

What is the rate of growth or rate of decay? 5%

7 0
2 years ago
A bakery is having a sale on cupcakes. At 11am the bakery has sold 123 cupcakes. By 2pm the bakery has sold 470 cupcakes.
Wittaler [7]

Answer:

The average rate of change is 115 cupcakes per hour approximately

Step-by-step explanation:

6 0
2 years ago
What is the shape of a dice
Nikitich [7]
The shape of a dice is a cube. A cube is a shape which is 3D. A cube has 6 squares  which makes it 3D. A dice has dots on them. The dots stand for numbers. Each side has a different number. They have up to 6 dots.

Hope I helped ya!!!☺☺☺
3 0
3 years ago
Read 2 more answers
Other questions:
  • What’s 1/100000 as a fraction
    9·2 answers
  • What is the output or waste of the cellular respiration cycle?
    8·1 answer
  • All ratios equivalent to 3:4
    12·1 answer
  • At a water park, a one-day ticket costs $72.50 per adult. Which equation can be used to calculate the one-day ticket price, W, f
    7·1 answer
  • Help????????????????????
    12·1 answer
  • Question 1. -29 + |-43| = __
    6·1 answer
  • Which polynomial is twice the sum of 4x^2-x+1 and -6x^2+x-4
    6·1 answer
  • John sells book bags.He sells a leather bag for $69.80 and the sales price . About how much is the sales tax on the book bag?
    13·2 answers
  • What is the value of A when we rewrite<br> (1/7)^x-2 - (1/7) ^x as A x (1/7)^x
    15·2 answers
  • A survey asked high school students
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!