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
Juliette [100K]
3 years ago
15

A committee of 5 people is to be chosen from a group of 8 women and 10 men. How many diffferent committees are possible? How man

y are possible if the committee must feature both men and women? How many are possible if the committee must feature 3 women and 2 men? How many are possible if the committee must have more women than men?
Mathematics
1 answer:
Jet001 [13]3 years ago
3 0
A) 5 to be chosen among a Total : 10 Men + 8 Women

¹⁸C₅ = (18!)/(5!)(13!) = 8,568 groups of five

b) A must to have men and women. If so we have to deduct all groups of 5 that are all men and all group of 5 that are all women
Groups of 5 with only men: ¹⁰C₅ = 252
Groups of 5 with only women: ⁸C₅ = 56

So number of committees of 5 men and women mixed =
8568 - 252 - 56 = 8,260 committees 

c) 3 Women and 2 Men:

⁸C₃ x ¹⁰C₂ = 2,520 groups of 3 W and 2 M

d) More women than men, it means:
  3 W + 2 M OR (we have found it in c) = 2,520)
  4 W + 1 M OR   ⁸C₄ x ¹⁰C₁   →→→→ =    700
  5 W + 0 M OR   ⁸C₅ x ¹⁰C₀   →→→→  =     56

Total where W>M = 3,276 groups of 5 where women are at least 3


You might be interested in
There are 18 pieces of chalk. The ratio if chalk that is yellow to chalk that is not yellow is 1:2. How many more pieces of whit
katen-ka-za [31]
The amount of chalk are equal
5 0
3 years ago
HELP ME PLZZZZ I'LL GIVE ANYONE 100 FOR THE CORRECT ANSWER
Travka [436]

Answer:

The symbol '<' fits best.

Step-by-step explanation:

18 ÷ 6 + 3 □ 6 + 12 ÷ 3

=> 3 + 3 □ 6 + 4

=> 6 □ 10

Therefore, the symbol '<' fits best.

Hoped this helped.

3 0
2 years ago
Read 2 more answers
If gasoline costs 2.14 per gallon and you drive 500 miles in a car that gets 30 mpg, what is the cost of gasoline
Vlad [161]

Answer:

35.7

Step-by-step explanation:

First, you would calculate how many gallons of gasoline the car gets. To do this, divide your total mileage of 500 miles by the mpg (30). Now you know how many gallons of gasoline will be used by the car. After calculating, you get 16.67. Multiply this by how much it costs per gallon of gasoline, and you get an answer of $35.7.

8 0
3 years ago
20 POINTS!! <br> Which ordered pair is the solution to the system of equations?
marta [7]
Hello! I would love to help!

The answer is -10,-1

Basically, you have to fill -10 in for x and -1 in for y in each equation. If the equations are true, that is the right answer!


Hope this helped! Comment if you have questions!







8 0
3 years ago
When are <br> x+3<br> and <br> 2x<br> equal? When are they not equal?
irinina [24]

Answer:

x+3= 2x when x = 3

3+3 = 2*3

6= 6

They are not equal when x is any other number rather than 3

3 0
3 years ago
Other questions:
  • Snow cone holders are sold in sleeves of 50. How much paper is needed for each sleeve if the cones have a slant height of 5 inch
    9·1 answer
  • Cinemark Theater has three categories for ticket prices. Adult tickets
    9·1 answer
  • Erik buys 2.5 pounds of cashews.If each pound of cashews $7.70,how much will he pay for the cashews???I put Erik will pay $49250
    6·2 answers
  • What is five times seven
    7·2 answers
  • P = 14.7e-0.21x, where x is the number of miles above sea level. To the nearest foot, how high
    15·1 answer
  • a baby weights 7 pounds at birth. the table shows the birth weight after each month of life, up to six months​
    5·1 answer
  • It took the football team 5 h to travel from Titletown, a total distance of 1320 km. Part of the trip was by bus and the remaind
    5·1 answer
  • Any help would be great!
    11·1 answer
  • Can sb please help me
    15·2 answers
  • 1) The ratio of the number of Mary's stickers to Anne's is 4:7. Mary has 48 stickers. If
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!