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
lapo4ka [179]
2 years ago
7

There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are the

re to select 2 pairs of gloves? (b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
Mathematics
1 answer:
zlopas [31]2 years ago
4 0

Answer:

(a) How many are there to select 2 pairs of gloves?

10 ways

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

130 ways

Step-by-step explanation:

For the above questions we apply that combination formula

(a) How many are there to select 2 pairs of gloves?

There are 5 pairs of gloves according to the question above, hence:

5C2 = 5!/2! × (5 - 2)!

= 5!/2! × 3!

= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1

= 10 ways.

Therefore, there are 10 ways to select 2 pairs of gloves

(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)

i) A way to select 4 gloves out of 10 gloves =

10C4 = 10!/4! ×(10 - 4)!

= 10!/ 4! × 6!

= 210 ways

ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:

5 × 2⁴

= 80 ways.

Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways

= 130 ways

You might be interested in
This is algebra.. and I am rea bad at it
katovenus [111]
^^^ this is correct, but bro it’s just simple subtraction. Use a calculator or sum
5 0
3 years ago
QUICK
timama [110]

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

8 0
3 years ago
A glass of water was one eighth of a liter. How many glasses would it take to fill up a 3 liter jug
ycow [4]
24 glasses would be needed to fill up a 3 liter jub
7 0
2 years ago
Estimate. Them multiply. Use your estimate to check your answer. For 18×8
frez [133]

Answer:

120

Step-by-step explanation:

18x8 is 124 but if you estimate then it is 120 bc 4 or less let it rest 5 or more add one more.

7 0
3 years ago
What is 6 1/4 divided by 2
andriy [413]

Answer:

3 1/8

Step-by-step explanation:

6 1/4 ÷ 2

~Turn each number into an improper fraction

25/4 ÷ 2/1

~Copy Dot Flip

25/4 * 1/2

~Multiply

25/8 or 3 1/8

Best of Luck!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate f(x) = -3x+3 for x=-2
    12·2 answers
  • Mark packed 1 inch cubes into a box with a volume of 120 cubic inches how many layers of 1 inch cubes did mark pack
    14·1 answer
  • 5/9+(1/9+4/5). what is the awnser​
    6·1 answer
  • What is the value of b?<br><br> - 7.5 ( x - 3 ) = 3.75
    6·2 answers
  • Giles is searching for a sock and discovers that he has 10 socks for every 5 pears of shoes if he has 20 socks how many pears of
    15·1 answer
  • In an afforestation programme every student from different schools planted as many plants as their number.If they planted 2025 p
    6·1 answer
  • What is 64,569 rounded off to the nearest thousand
    12·1 answer
  • What is 5 1/9-3 5/6 plz help me
    10·1 answer
  • * Soy multiplo de 1,000. Tengo entre 350.000 y 400.000. Mi digito de diez mil es igual a la mitad de 16. Mi digito de miles es i
    12·1 answer
  • Pls help me out<br> 6x + 12x = 90
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!