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
True [87]
2 years ago
8

Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people c

an be made if:
a) there must be exactly 3 students on the committee

b) there must be at least one teacher and at least one student on the committee
Mathematics
1 answer:
mariarad [96]2 years ago
4 0

Answer:

a) 11,880

b) 7,770

Step-by-step explanation:

The number of teachers that volunteer = 6 teachers

The number of students that volunteer = 12 students

The number of people in the committee = 5 people

a) The exact number of student on the committee = 3 student

Therefore, the number of teachers in the committee of 5 = 5 - 3 = 2

The number of teachers in the committee = 2 teachers

We get;

The number of committees that can be made = ₁₂C₃ × ₆C₂ = 792×15 = 11,880

b) When there is at least one teacher and at least one student on the committee, we have;

₁₂C₄ × ₆C₁ + ₁₂C₃ × ₆C₂ + ₁₂C₂ × ₆C₃ + ₁₂C₁ × ₆C₄ = 7,770

The number of committees having at least one teacher and at least one student = 7,770

You might be interested in
Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?
zysi [14]

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

240/30 = 8 days

8 0
2 years ago
Read 2 more answers
Which number comes next in this series<br> A) 4<br> B) 21<br> C) 31<br> D) 34
Greeley [361]
What is the series you are referring too?
3 0
3 years ago
Incline Electronics produces three different products in a plant that is open 40 hours per week. Each product requires the follo
Paladinen [302]

Answer:

is thier any way you can take a picture of what the problem is cause alot of the equation are not adding up the way you put them

8 0
2 years ago
Can you help me find each measure?
madam [21]

Answer:

Step-by-step explanation:

1. the measure for HJ you can already see, start from h and draw a line to J. The measure shows 63 degrees.

2. start at F and draw a line to G first. the measure shows 65 degrees. Now continue the line from where you stopped at G, to H. There's no measure but you can see it is in a semicircle. A semicircle is 180 degrees andthe other two angles are 63 and 65.

So...

180=63+65+GH

subtract to get GH

180-63-65= 52

so the measure GH is 52 degrees. The full measure you are trying to find is FGH thought. So ad the 65 and the 52.

FGH =117 degrees.

3. The meaure is CDE. CD as you can see is a right angles, so 90 degrees. But there is no measure for DE. If you look to the angle vertical from DE which is BA. It measures 40 degrees. DE and BA are vertical so they are congruent. If DE equals 40  and CD equals 90, put them together and you get 130.

CDE= 130 degrees

4. Next measure is BCD. We already know CD is a 90 degree angle but BC is blank. You can see the measure BCD is in a semi circle. A semicircle equals 180, CD equals 90, and BA equals 40

so...

180= 90+40+BC

so subtract

180-90-40= 50

BC =50

so add BC=50 and CD=90. SO, BCD is 140 degrees.

5.The angle LMN is next. MN is 30 but LM is blank. LMN is in a semi circle.

A semicircle is 180 degrees.

so...

180=105+30+LM

subtract

180-105-30=45

LM = 45

Add LM=45 and MN=30

LMN is 75 degrees.

6.The last angle is LNP

If you look at it MP is a semi circle, so 180 degrees. And LM is 45 from our last question. so 180 +45=225

LNP=225

hope this helps

4 0
3 years ago
How do you find the area of a rectangle
REY [17]

Answer: multiple the length vu the width

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi
    14·1 answer
  • Select the three ratios that represent the number of blue marbles to red marbles.
    5·2 answers
  • Yoon buys a box of markers for $2.85, but he has a coupon for 20% off. How much does he save with the coupon?
    7·1 answer
  • Katie has a roll of ribbon that s 8 feet long. She cuts off 3 feet of ribbon and the remaining length is cut into 8 shorter piec
    12·1 answer
  • Which function has exactly three distinct real zeros? A. h(x) = (x − 9)2(x − 4)2 B. h(x) = x(x + 7)2 C. h(x) = (x − 3)(x + 1)(x
    5·1 answer
  • How do you write 32,005,008 in two forms
    12·1 answer
  • Select the correct answer.
    5·1 answer
  • A kangaroo hops 2 kilometers in 3 minutes. At this rate how long does it take the kangaroo to travel 3 kilometers?
    13·1 answer
  • Evaluate the following. Express your answer in simplest form. -5/8 - (-2 5/6)
    14·1 answer
  • 4.3 Mr Mokwebo 's two sons, Refentse and Tokelo have just passed grade 7 and grade 9 respectively. He will give them some money
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!