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
slavikrds [6]
3 years ago
8

Suppose we want to choose 5 objects, without replacement, from 13 distinct objects. (a) How many ways can this be done, if the o

rder of the choices is not taken into consideration? (b) How many ways can this be done, if the order of the choices is taken into consideration?
Mathematics
1 answer:
Arisa [49]3 years ago
8 0

Answer:

A. 1, 287 ways

B. 154,440 ways

Step-by-step explanation:

A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.

The correct way to do this is by using the combination formula since order is not considered;

Thus we have ; 13 C 5 read as 13 combination 5;

Mathematically, n C r is ; n!/(n-r)!r!

Thus, we have ;

13!/(13-8)!8! = 13!/5!8! = 1,287 ways

B. By considering order, we shall be using the permutation formula;

Mathematically n P r = n!/(n-r)!

Read as n permutation r;

Using the numbers involved, we have ; 13 P 5

= 13!/(13-5)! = 13!/8! = 154,440 ways

You might be interested in
What’s the quotient of 2 divided by 1/3
just olya [345]
2 4/5 divided by 1 1/3
= 14/5 divided by 4/3
= 14/5 * 3/4
= 42/20
= 21/10
= 2 1/10
Final Answer: 2 1/10
7 0
3 years ago
What is the length of leg s of the triangle below?
Katyanochek1 [597]
8, as it is a 45-45-90 triangle, and if it has a side x not on the hypotenuse, the hypotenuse is x√2, and the other side is also x
5 0
3 years ago
Read 2 more answers
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that
Hunter-Best [27]

We are given ratio nickel to zinc to copper = 2:7:9.

From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.

Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.

So, we can setup a proportion as :

x : 4.9 =  2:7

Or

\frac{x}{4.9}=\frac{2}{7}

On cross multiplication, we get

7x= 4.9× 2

7x = 9.8

Dividing both sides by 7, we get

x = 1.4.

<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
6 0
3 years ago
Can someone please help me answer this question.?
SashulF [63]

Answer:

d=8.0 meters

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

We are given the volume and the height

117.23 and the height 7

117.23 = 1/3 *3.14 *r^2 * 7

117.23 = 7.3266666666 *r^2

Divide each side by 7.3266666666

117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666

16.00045496 = r^2

Take the square root of each side

sqrt(16.00045496) =sqrt( r^2)

4.000 = r

We found the radius but it wants the diameter

d = 2*r

d =2*4.0

d=8.0 meters

3 0
3 years ago
What is the area of a rectangle with a lenght of 12 inches and a width of 3 inches
Phoenix [80]

Answer:

36

Step-by-step explanation:

area of a rectangle is length x width, so 12 x 3 = 36

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the intercept? what is the slope? y+2=9
    14·2 answers
  • PLEASE HELP I'LL GIVE BRAINLIEST I NEED TO PASS THIS EXAM
    5·2 answers
  • Give an example of when you would make a frequency table to solve a problem.
    14·1 answer
  • Someone help please ‍♀️
    5·1 answer
  • 7/10+2/5 please show work 30 POINTS
    15·2 answers
  • The price of a watermelon at a fruit stand goes up 7 cents each month. The first month the stand was open, a watermelon cost $1.
    7·1 answer
  • Find the y-intercept of the following equation. Simplify your answer.​
    6·1 answer
  • Ali bought 4 CDs that were each the same price. Including sales tax, he paid a total of 43.60 dollars. Of that total, 2.80 dolla
    9·1 answer
  • Which of the following measurements contains two significant figures?
    15·2 answers
  • A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 10 insects is exposed to the insecticide i
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!