All categories

3 years ago

17. Evaluate a. 6! b. 8P5 c. 12C4

1 answer:

7 0

The factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720

for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4

for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5

You might be interested in

Surface area formula <br> of a parallelogram prism

Alina [70]

SA=bh (surface area for parallelogram prism)

8 0

3 years ago

Michael received a grant to make a community garden. He makes a scale drawing of his vision for the garden. Michael's drawing sh

Mila [183]

Step-by-step explanation:

Find the diagram to the question attached.

From the diagram, we are given the following dimension for one of the beds;

Length = 16cm

Width = 8cm

If the scale from his drawing to the actual garden is 2 cm for every 1 ft, then on converting to feet;

2cm = 1ft

16cm = x fr

cross multiply

2x = 16

x = 8ft

Hence 16cm = 8ft (based on the scale)

Similarly:

2cm = 1ft

8cm = x fr

cross multiply

2x = 8

x = 4ft

Area of the garden bed (in feet) = Length * Width

Area of the garden bed = 8ft * 4ft

Area of the garden bed = 32ft²

Hence the actual area of one of the garden beds is 32ft². We need to find 2 things fir us to get the required answer. First is the length of the bed in feet and the second is the width of the bed in feet.

8 0

3 years ago

What is the answers

Mice21 [21]

Angle 2 is 110° and the other angles are 70°

4 0

3 years ago

Read 2 more answers

Which statements about this system of equations are true? Check all that apply. - x + 6y = 16 8x - 6y = -2 The x-variable will b

frutty [35]

Answer:

The true statements are:

The y-variable will be eliminated when adding the system of equations

There is only one solution to the system of equations is

Step-by-step explanation:

* Lets explain how to solve the problem

- We use the elimination method to solve the system of the

linear equation

- The solution is one of three cases

# Exactly one solution ⇒ the 2 lines which represented the equations

intersect each other at one point

# No solution ⇒ the 2 lines which represented the equations are

parallel to each other

# Infinite solutions ⇒ the two lines are coincide

- In the system of the linear equations of the problem we have two

linear equations -x + 6y = 16 and 8x - 6y = -2

- To solve we must to eliminate one of the two variables

∵ The y's in the two equations have the same coefficients and

different signs

∴ We add the equations to eliminate y

∴ (-x + 8x) + (6y - 6y) = 16 + -2

∴ 7x = 14 ⇒ divide both sides by 7

∴ x = 2

- Substitute the x in any one of the two equations by 2

∴ -2 + 6y = 16 ⇒ add 2 to both sides

∴ 6y = 18 ⇒ divide both sides by 6

∴ y = 3

∴ The solution of the system of the equations is (2 , 3) ⇒ only one

solution

- Lets check the statements to find the true statements

# The x-variable will be eliminated when adding the system of

equations is not true

# The y-variable will be eliminated when adding the system of

equations is true

# The sum of the system of equations is - x + 6y is not true

# There is only one solution to the system of equations is true

6 0

3 years ago

Read 2 more answers

Lisa is cooking muffins. The recipe calls 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to pu

jok3333 [9.3K]

Answer:

She needs to use 5 more cups of sugar for the muffins

Step-by-step explanation:

7-2=5

P.S. May I get brainly?

3 0

3 years ago