All categories

3 years ago

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

Find the inverse of the function. Show work. <br> g(x)= - 3/x-2 +2

4vir4ik [10]

Answer:

$\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}$

Step-by-step explanation:

We are given the function:

$\displaystyle g(x)=-\frac{3}{x-2}+2$

Let's find the inverse of g.

Call y=g(x):

$\displaystyle y=-\frac{3}{x-2}+2$

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

$y(x-2)=-3+2(x-2)$

Operate:

$yx-2y=-3+2x-4$

Collect the x's to the left side and the rest to the right side of the equation:

$yx-2x=-3-4+2y$

Factor the left side and operate on the right side:

$x(y-2)=-7+2y$

Solve for x:

$\displaystyle x=\frac{-7+2y}{y-2}$

Interchange variables:

$\displaystyle y=\frac{-7+2x}{x-2}$

Call y as the inverse function:

$\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}$

5 0

3 years ago

The least amount of wrapping paper needed to wrap a cube-shaped gift is 150 square inches. How long is one side of the gift?

devlian [24]

Isn't the only thing you have to do is since a cube has 6 sides than you would have to do 150 divided by 6. If I am correct.

5 0

3 years ago

How do you divide scientific notation problems like this: 0.00053 ÷ 29?

Shtirlitz [24]

You got to remember
$\frac{x^m}{x^n}=x^{m+n}$

first write them in scienfitic notation
0.00053= $5.3*10^{-4}$
29= $2.9*10^1$

so
$\frac{0.00053}{29}=$
$\frac{(5.3)(10^{-4})}{(2.9)(10^1)}=$
$(\frac{5.3}{2.9})(\frac{10^{-4}}{10^1}=$
$(1.8275862068965517241379310344828)(10^{-4-1})=$
$(1.8275862068965517241379310344828)(10^{-5})=$
$1.8275862068965517241379310344828*10^{-5}$

that's the answer

5 0

3 years ago

What is the value of the expression |x| + |y + z| when x = –6, y = –3, and z = –5?

mart [117]

|-6| + |-3 + (-5)|

6 + |-8|

6 + 8

14

8 0

3 years ago

A soccer game is 90 minutes long. 36 minutes have passed. What percentage of the game has passed?

11Alexandr11 [23.1K]

Answer:

The answer is 40%

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

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

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