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
Dominik [7]
3 years ago
6

A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many dif

ferent ways could the committee be mad?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

8190 ways

Step-by-step explanation:

Given

Teachers = 6

Students = 15

Selection

Students = 4

Teachers = 5

Required

Number of ways of selection

4 students can be selected from 15 students in:

Students= ^{15}C_4

Similarly.

5 teachers can be selected from 6 teachers in:

Teachers= ^{6}C_5

So, the required number of selection is:

Selection = ^{15}C_4 * ^6C_5

Apply combination formula:

Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}

Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}

Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}

Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}

Selection = \frac{32760}{24} * 6

Selection = 1365 * 6

Selection = 8190

You might be interested in
Can i get the answers i need them or else i fail
denpristay [2]
The answer would be all of them except for 4,4 and 3,8 i’m pretty sure
3 0
2 years ago
Please help, i have no idea what i did wrong.<br> 20 points !
tresset_1 [31]

Answer:Second Step

Step-by-step explanation:

On the right side in step two you added -3b-15b, and ended up with -12b. This is incorrect. -3b-15b is actually -18b

6 0
2 years ago
Please help 100 points! Will mark Brainliest. Thank You!
ziro4ka [17]

HERE'S HOW TO DO IT :)

A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles.

<u>To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.</u>

<u>(SEE EXAMPLE ATTACHED)</u>

<u />

<u />

<u>HERES WHAT WE KNOW ABOUT COMPOSITE FIGURES:</u>

<u>Composite Figures. A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures</u>

<u />

<u />

<u />

<u />

<u />

<u />

<em>let me know if i can help more :)</em>

<u />

6 0
3 years ago
Read 2 more answers
Two friends share 1/4 gallon of lemonade equally. What fraction of the gallon of lemonade does each friend get?
Lera25 [3.4K]
It can be 2/1 I think lol
8 0
3 years ago
Susan made 75 pieces of peanut brittle to share equally with her friends. She put 4 pieces of peanut brittle in each bag. She ga
BabaBlast [244]

Answer:

72/4=18 with remainder of 3 peices given to her mom

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perim
    9·1 answer
  • Find the value of x <br><br> 4<br> 14<br> 3<br> 6
    13·1 answer
  • Given the function P(x)=(x-1)^2, Write the new function wi†h a dilation of 2 ON THE X
    7·1 answer
  • Pink and yellow when mixed up makes which colour
    5·1 answer
  • What is 372 divided by 6 in estimation
    15·2 answers
  • There are 28-right handed students in a class of 31. What is the probability that a student chosen at a random time will be left
    6·2 answers
  • 6,18,54,...<br> Find the 9th term.
    15·2 answers
  • Kendall ran 3 ¼ of a mile on Saturday. She ran five times as much on Sunday. How much did Kendall run on over the weekend?
    15·1 answer
  • What is the square root of 69 + 249 + 369​
    13·1 answer
  • David ha fabricado una caja de cartón sin tapa para guardar sus cromos la caja tiene una base cuadrada cuyos lados miden 30 cm y
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!