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3 years ago

In how many ways can a teacher arrange 5 students in the front row of a classroom with a total of 20 students?

2 answers:

6 0

In the first chair in front row, the teacher can choose from 20 students. She can choose from the remaining 19 to be seated in the 2nd chair. 18 for the 3rd chair. 17 for the 4th chair and lastly 16 for the 5th chair. The number of ways is the product of all these numbers. Thus, the teacher can arrange them in 1860480 ways.

aksik [14]3 years ago

5 0

Slot method
5 slots

1st slot: 20
2nd slot: 19 (1 went to first slot)
3rd slot: 18
4th slot: 17
5th slot: 16

20*19*18*17*16=186,040 ways

You might be interested in

The following events took place at a manufacturing company for the current year: (1) Purchased $115,000 in direct materials. (2)

Elden [556K]

The question was not written properly. Here is the appropriate form of question:

The following events took place at a manufacturing company for the current year:

(1) Purchased $115,000 in direct materials.

(2) Incurred labor costs as follows: (a) direct, $76,000 and (b) indirect, $33,600.

(3) Other manufacturing overhead was $127,000, excluding indirect labor.

(4) Transferred 75% of the materials to the manufacturing assembly line.

(5) Completed 60% of the Work-in-Process during the year.

(6) Sold 80% of the completed goods.

(7) There were no beginning inventories.

1- What is the company's Cost of Goods Sold?

Options:

a. $193,710

b. $154,968

c. $322,850

d. $258,280

Answer:

1- b. $154,968

Step-by-step explanation:

1- Cost of goods sold (COGS) is the is the expense of securing or assembling the items that an organization sells during a period, so the main costs remembered for the measure are those that are directly attached to the creation of the items, including the expense of work (labor cost), materials, and assembling overhead.

0.6*[$0 + 0.75*($115,000) + $76,000 + ($127,000 + $33,600)] (because completed 60% of the Work-in-Process during the year)

= $193,710

80% of $193,710 (because sold 80% of the completed goods)

0.8*$193,710

= $154,968

5 0

3 years ago

If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)

Ipatiy [6.2K]

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

also read similar questions: If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?

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if cos θ -sin θ =1, find θ cos θ +sin θ?

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7 0

2 years ago

Factor completely. x^3 + 2x^2 + x + 2

slega [8]

$x^3 + 2x^2 + x + 2=\\
x^2(x+2)+1(x+2)=\\
(x^2+1)(x+2)$

8 0

3 years ago

I Think it’s A ...It’s my Final..Am I Right is it A?

vladimir1956 [14]

Answer:

yes, your right

Step-by-step explanation:

6 0

2 years ago

27 over X =3 and 5y = 35 what is the value of X• Y?

diamong [38]

Answer:

Step-by-step explanation:

$\frac{27}{x} = 3$

divide, 27 ÷ 3

you'll get 9, so

x = 9

Next part

5y = 35

divide both sides by 5 to isolate y,

5y ÷ 5 = 35 ÷ 5

y = 7

x = 9 and y = 7

Then let's add the numbers to our equation ( x × y)

9 × 7

7 0

2 years ago