Ms. White has 15 students in her first grade class. Troy is the line leader for the week, and Mackenzie is last because she was the line leader last week. In how many different ways can Ms. Whites class line up for lunch?A.) 13!
B.) 15!
C.) 15!÷2!

Answers

Answer 1

Answer: The first place and 15th place are already decided, so we have to find the number of different ways that the other 13 students can line up, in the places from 2 to 14.

2nd place can be any one of 13 people. For each of those . . .

3rd place can be any one of 12 people. For each of those . . .

4th place can be any one of 11 people. For each of those

13th place can be any one of 2 people. For each of those

14th place has to be the one student who is left.

Total number of ways that 13 students can line up in places 2 through 14 is

(13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

That number is called "thirteen factorial". The number is 6,227,020,800 .

When you write it in math, you write it like this:13

Answer 2

Answer:

13!

Step-by-step explanation:

Related Questions

What is 42 percent of 85000
How do you simplify (1/x+h) - (1/x)
A cylinder has a diameter of 12 inches and a height of 10 inches what is its volume
You have 1 case of soap bars and there are 150 bars in a case. You use 300 bars of soap per day. How many cases do you need to order to have enough for 7 days?* 11 12 13 14
The sum of the exterior angles of a pentagon equals 300? True or false

If Ben borrowed $20,000 for his business of a 10-year loan at 6.25%.a. What is the monthly payment of a Ben’s loan?
b. What will be the total of Ben’s monthly payments for the 10 years?
c. How much total interest did Ben pay for the loan?

Answers

Answer:

a. $104.17 monthly interest.

b. 120 monthly payments.

c. Total interest of $12,500.

Step-by-step explanation:

I = Prt

I = (20000 x 0.0625 x 1) = 1250 annually

for monthly Interest payment divide the answer by 12;

1250/12 = $104.17 monthly

12 x 10 = 120 monthly payments

I = Prt

I = $20,000 x 0.0625 x 10

I = $12,500

CJ's boss was late paying everyone last month. CJ had $856.78 in his checkingaccount and had to pay $950 for rent before his paycheck came.
8. If CJ writes the $950 check and the landlord cashes it right away, what
will be the new negative balance in CJ's account?

Answers

It comes with like a extra replacement shi

The area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 mile. what is the width in miles of the park?

Answers

$(25)/(54)$ divided by $(5)/(9)$
= $(25)/(54)$ multiplied by $(9)/(5)$
= $(5)/(6)$ miles

At the doctor's office, there is a scale that measures people's weight. The needle is 20 cm long, and it rotated 100° when Frank stepped on it. How far did the needle travel as it rotated?

Answers

Given:
length of the needle: 20 cm
angle 100°

We need to solve for the length of an arc to get the distance the needle has traveled.

Length of an Arc = n°/360° * 2πr
Length of an Arc = 100°/360° * 2 * 3.14 * 20cm
Length of an Arc = 0.28 * 125.6 cm
Length of an Arc = 35.17 cm

Answer: 100(pi)/9

Step-by-step explanation:

We use the equation (theta/360)(2)(pi)(r)

Theta = 100 (100 degrees of a 360 degree circle)

r = 10 (not 20 because that is the whole needle, we need half of 20 for the radius)

Plugging this in: 100/360 (2)(pi)(10)

2,000(pi)/360

Divide by 20 to simplify: $(100\pi)/(9)$

Solve the equation for a: r=a+k/b a= ?

Answers

r = a + k/b

a = r - k/b

a = 1/b (r.b - k)

Find the measure of the third side of the triangle given the measures of two sides.6ft and 19ft

I don't know how to get the third side.

Answers

Knowing the length of 2 sides is not enough to nail down the length of the
third side. There are an infinite number of possibilities that it could be.

Here's what you have now: You have two sticks. One of them is 6-ft long,
and the other one is 19-ft long, and they're joined together at one end
with a hinge. You can open them wide, or you can close them down to
a narrow slit. Whatever you do with them, you can always join their
other ends with another stick. It may be short, or it may have to be
long. Knowing the lengths of the first two sticks doesn't tell you the
length of the stick you need in order to make a triangle.

(So don't feel too bad that you don't know how to get the third side.
There isn't a way.)

Final answer:

Without information about the angle between the two sides of the triangle, the third side's length can only be estimated to be between 13 and 25 feet.

Explanation:

In mathematics, you can often use the Pythagorean theorem to find the length of the third side of a triangle. This theorem, which applies to right triangles, states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In your case, however, without any information concerning the angle between these two sides, we cannot determine a unique value for the length of the third side. The third side will have a value that lies between 13 ft and 25 ft, depending on the angle between the two sides.