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
bogdanovich [222]
2 years ago
13

At a high school the student government is made up of 5 seniors, 4 juniors, 3 sophomores and 2 freshmen. If there are 8 seniors,

9 juniors, 12 sophomores and 7 freshmen running, in how many ways can the student government be selected?
Mathematics
1 answer:
hjlf2 years ago
5 0

Answer:

  • 32598720

Step-by-step explanation:

<u>Combination for the school government requires:</u>

  • 5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 56
  • 4 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 126
  • 3 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 220
  • 2 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21

<u>So number of total ways is:</u>

  • 56*126*220*21 = 32598720
You might be interested in
A single person pays $4,500 in income taxes on a gross income of $30,000. How much would a single person be expected to pay if h
zzz [600]

4500/30000 =0.15

32000 * 0.15 = 4800

5 0
3 years ago
Read 2 more answers
A little girl has learned how to write digits. So far, she knows only: one, two,
kolbaska11 [484]

Answer:

it's what will be left when it's divided

3 0
3 years ago
The total area of the polygon is 176 square feet. Find the value of x.
My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

5 0
3 years ago
Read 2 more answers
Help Me PLEASE!!!!!!!
Ksenya-84 [330]

Answer:60

Step-by-step explanation: it needs to add up to 180

4 0
3 years ago
sydney planted 5/9 of her fall flowers.she had 63 unplanted flowers to start.how many flowers does she have left to plant.?how m
PilotLPTM [1.2K]
35. 

5/9= 0.555555556

0.55555556*63=35

2/3= 0.6666666667

0.666666667*63= 42

63-35=28

42-28=14
She has 35 unplanted flowers and must plant 14 more in order to have filled 2/3 of her flower bed. 




8 0
3 years ago
Other questions:
  • WILL GIVE BRAINLIEST ANSWER!!!!
    12·2 answers
  • Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?
    15·2 answers
  • Two points on a line are given by the ordered pairs (-3, 2) and (-3, -5). What type of line is this?
    14·1 answer
  • How many multiples of $6$ are between $100$ and $500$?
    11·2 answers
  • Write an expression to represent:<br> Nine more than the quotient of two and a number 1.
    10·1 answer
  • Write this trinomial in factored form 6y^2 - 17y + 5
    5·1 answer
  • What is the interquarile range of the following data: 7, 6, 2, 8, 6, 2, 5, 3, 3, 8, 8 *
    8·1 answer
  • It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada
    11·1 answer
  • Express (x−4)^2 as a trinomial in standard form.
    14·1 answer
  • If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!