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
Luba_88 [7]
3 years ago
5

THERE ARE 6 BOOKS ON A READING LIST. STUDENTS MUST READ ANY 3 OF THE BOOKS ON THE LIST. IN HOW MANY WAYS CAN A STUDENT SELECT AN

Y 3 BOOKS?
Mathematics
1 answer:
aksik [14]3 years ago
3 0
To solve this problem, you must use the Combination Formula:
 
 Cr(n,r)=n! /r!(n-r)!
 
 n: The number of things it can be chosen (n=6).
 r: The number of things you choose (r=3).
 !: The symbol of The Factorial Function, which means that descending numbers are multiplied.
 
 In Combinations the order of the objects does not matter, so we have:
 
 Cr(n,r)=n!/r!(n-r)!
 C(6,3)=6!/3!(6-3)!
 C(6,3)=6!/3!
 C(6,3)= 6x5x4x3!/3x2x1x3!
 C(6,3)=6x5x4/3x2x1
 C(6,3)=120/6
 C(6,3)=20
 
 In how many ways can a student select any 3 books? 
The answer is: In 20 different ways. 
You might be interested in
Write an<br> explicit formula for An, the nth term of the sequence 9, 16, 23, ....
gizmo_the_mogwai [7]
someone help meeeee
4 0
3 years ago
Read 2 more answers
4 questions last ones thxxx
iren [92.7K]

Answer:

(For the first two questions I do believe that you will need a protractor to calculate the angles.)

15) -(\frac{7\pi }{18} )\\ measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)

The first image attached shows where the angle should be located.

16) \frac{\pi }{3} is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))

17) 350° is \frac{35\pi }{18} or 6.11 (the answer depends on the format the professor wants.)

18) 240° is -(\frac{4\pi }{3}) radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25
BigorU [14]

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's Solve ~

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 20x + 25

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 10x + 10x + 25

\qquad \sf  \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) (2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) {}^{2}

or

\sf{\qquad \sf  \dashrightarrow \: 4x² + 20x + 25 }

\sf{\qquad \sf  \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

\sf{\qquad \sf  \dashrightarrow \: (2x + 5)²}

I hope it was helpful ~

3 0
2 years ago
Ramesh examined the pattern in the table.
nikdorinn [45]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Easy and simple but i don’t know which one goes to which. please help
Llana [10]

Answer:

They are placed in right order (quite interesting).

Step-by-step explanation:

Just drag each answer choice as they are placed.

Best Regards!

6 0
3 years ago
Other questions:
  • Yesterday, a Bakery baked 54 loaves of bread in 20 minutes today the bakery needs to bake 375 loaves of bread at this rate predi
    6·2 answers
  • Another question on Order of operations, what is the value of 28 + 4p? Let p = 11
    10·2 answers
  • What is 8/30 in simplest form
    11·2 answers
  • How can a veto be overridden?
    9·2 answers
  • If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (gxh)(5)??
    12·1 answer
  • (a) Find a simplified form of the difference quotient and (b) complete the following table.
    13·1 answer
  • Each month Judy and jills cupcake shop pays $1850 in monthly expenses . They need to make at least as much as they spend each mo
    6·2 answers
  • The graph of a function is shown below.​<br> ​ <br> ​Is the function linear?
    7·2 answers
  • Use a half-angle formula to find the exact value of the expression.
    15·1 answer
  • A. Kim pays $90 for every block of 5 dance classes. What rate can you write to represent this block of classes
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!