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
Radda [10]
3 years ago
6

Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six s

isters
Mathematics
1 answer:
noname [10]3 years ago
7 0

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

<span><span>6!</span><span>6!</span></span>

and taking the product of this would give me the amount of ways this could occur:

= C(12,2) * 6!

then for part b)

using this same idea except:

C(6,1) C(6,1) for the left and right glove each .

the C(6,1)*C(6,1)*6!

Right way to think them through?

You might be interested in
PLEASE HELP which of the following identities? Check all that apply
alisha [4.7K]
\sin(x - \pi) = \sin(x) \cos(\pi) - sin(\pi) \cos(x)
via the angle sum formula of sin
since \: cos(\pi) = - 1 \: and \: sin(\pi) = 0 \: then \\ sin(x - \pi) = - sin(x) \: which \: proves \: the \: first \: choice

\cos(x + y) + cos(x - y) = 2 \cos(x) \cos(y) =\:cos(x + y) + cos(x - y)=cos(x) cos(y)-sin(x)sin(y) +cos(x)cos(y)+sin(x)sin(y)=2cos(x)cos(y)
which proves the second choice
the third choice is wrong since for x=0,y=0 it will show that 2=1 which is incorrect
for the fourth one you can do some thing similar to choice one just expand the sum formula of sin and that should be true too
so
the first , the second and the fourth are all true
5 0
3 years ago
Read 2 more answers
How many prime numbers are there between 0 and 25
Vsevolod [243]
2, 3, 5, 7, 11, 13, 17, 19, 23

there are 9 prime numbers between 0 and 25
5 0
3 years ago
Read 2 more answers
Find the x-and y -intercepts.<br> y=20<br> The x-intercept is <br> The y-intercept is
prisoha [69]

Answer:

x-intercept is 50        y-intercept is 40

Step-by-step explanation:

solve for x, then solve for y

3 0
3 years ago
This helicopter has a rotor that moves at a rate of 600 spins per minute while flying. Which statement is supported by this info
jeka57 [31]

Answer: d. The helicopter rotor will spin 36,000 times in 1 hour

Step-by-step explanation:

Option A is wrong because in 40 minutes the rotor will spin:

= 40 * 600

= 24,000 times

Option B is wrong because we cannot know the number of times the rotor will spin before being lifted off of the ground with the details given.

Option C is wrong because in 3 hours the rotor will spin:

= 600 * 3 * 60 minutes

= 108,000 times

Option D is correct because in 1 hour the rotor will spin:

= 600 * 1 * 60 mins

= 36,000 times

5 0
3 years ago
The producer of certain medicine claims that it’s bottling
aliya0001 [1]

Answer:

it depends if he's  bottling it or not

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which is more constant-weather or climate
    10·1 answer
  • The polynomial y=x^2+4x+4 has a repeated factor.<br><br> True or False?
    6·1 answer
  • Tracie buys tickets to a concert for herself and two friends. There is an 8% tax on the cost of the tickets and an additional 10
    11·1 answer
  • How to change 7 out of 50 to a percentage.<br> how to change 18 out of 20 to a percentage.
    12·2 answers
  • Which of the following best describe perpendicular lines? A.lines that are not in the same plane B. Lines that meet at a 90* ang
    7·1 answer
  • Can solve this please??
    9·1 answer
  • A Pentagon has angle measure of 101°,103°,115°and 113° what must the fifth angle measure? The fifth angle measures
    11·1 answer
  • Imagine I had a magic spell that could make your house bigger. If you want the biggest house, which spell would you use?
    10·1 answer
  • - 3/5 - 1/5<br><br> in simpliest form
    8·2 answers
  • Given that V=1,3,4,2 and W= 6,4,7,2 then VW is
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!