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
Vlad1618 [11]
3 years ago
13

Of 19 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6 books can you​ take?

Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

27132

Step-by-step explanation:

Assuming the order does not matter, since it will always be a mixture of the same 6 books, we can calculate a combination for these outcomes.

The combination formula is:

nCr = n! ÷ (n-r)!r!

, where ! represents factorials, n represents the total number of items, and r represents the number of items being chosen.

So 19! ÷ (19-6)!6! = 19! ÷ 13! • 6!

19 • 18 • 17 • 16 • 15 • 14 ÷ 6 • 5 • 4 • 3 • 2

= 27132 different combinations of the 6 books.

If you use a calculator, find nCr, plug in 19 for n, and 6 for r.

You might be interested in
Factor out the GCF of 16x3−4x2+24x
Anni [7]
The GCF is 4x

4x (4x^2 - x + 6)
6 0
3 years ago
Joe bought 5 apples and 4 bananas for $6. Dawn bought 3 apples and 6 bananas for $6.30. How much foes each apple and each banana
zepelin [54]

Answer:

Apple = $0.6

Banana = $0.75

Step-by-step explanation:

Let us represent Apple by A and Banana by B

For Joe,

5A + 4B = 6       (1)

For Dawn

3A + 6B = 6.3     (2)

To eliminate A, Multiply equation (1) by 3 and equation (2) by 5

15A + 12B = 18          (3)

15A + 30B = 31.5       (4)

subtracting equation (4) from (3)

15A - 15A +12B - 30B = 18 - 31.5

-18B = -13.5

divide through by -18

-18B/-18 = -13.5/-18

B = 0.75

substitute 0.75 in equation (1)

5A + 4B = 6

5A + 4(0.75) = 6

5A + 3 = 6

subtract 3 from both sides

5A + 3 - 3 = 6 - 3

5A = 3

divide through by 5

5A/5 = 3/5

A = 0.6

4 0
3 years ago
De dos en dos los numeros de 1.000 hasta 1.100
fgiga [73]

Step-by-step explanation:

1050 es la respuesta amigo

3 0
3 years ago
Mary wants to find this product. 58 x 20 How can Mary find the product? A. 0 +16 + 100 B. 0 + 160 + 1000 . C. 58 + 16 + 100 D. 5
Fittoniya [83]

Answer:

B

Step-by-step explanation:

58×20=1160

0+160+1000=1160

8 0
3 years ago
Here is a easy question :- if -25/5 x p/q =1 , then p/q is equal to ?
bazaltina [42]

Answer:

p/q = -5/25

multiply-25/5 × -5/25 You'll get the answer as 1.

3 0
2 years ago
Read 2 more answers
Other questions:
  • There and Back Julian biked a 24 km trip to Guelph. On his way there, his average speed was 12 km/h. On his way home, he stopped
    6·1 answer
  • Please hurry it’s urgent
    9·2 answers
  • If cos θ =-2/5 and tan θ > 0, what is the value of sin θ?
    6·1 answer
  • If a rectangular field has a width of 11 meters and a perimeter of 68 meters calculate the area of the field
    8·2 answers
  • The value of 29.94 ×0.5 is approximately
    14·1 answer
  • Thirty students took a calculus exam. Of the students who passed the exam, 8 students earned an A, 9 earned a B, 6 earned a C, a
    11·1 answer
  • The table and the graph show the relationship between the edge length, x, of a cube and its surface area, y. Is the relation a f
    11·1 answer
  • Lin has a small baking pans shaped like a rectangular prism.
    8·2 answers
  • What is the slope of the line that passes through 9,5 and 4,5
    11·2 answers
  • A model of a building is 50 cm long, 32 cm wide, and 175 cm high. On the model, 1 centimeter
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!