A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?

The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000

Let

[tex]\mathcal{E}=\{\text{All lowercase letters of the English Alphabet}\}\\\\B=\overline{\{b,i,r,d\}} \cup \{bird\}\\\\F=\overline{\{f,i,s,h\}} \cup \{fish\}\\\\R=\overline{\{r,a,t\}} \cup \{rat\}\\\\FR=\overline{\{f,i,s,h,r,a,t\}} \cup \{fish,rat\}[/tex]

Then

[tex]Perm(\mathcal{E})=\{\text{All orderings of all the elements of } \mathcal{E}\}\\\\Perm(B)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing bird}\}\\\\Perm(F)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing fish}\}\\\\Perm(R)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing rat}\}\\\\Perm(FR)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing both fish and rat}\}\\[/tex]

Note that since

[tex]F \cap R=\varnothing[/tex], [tex]Perm(F)\cap Perm(R)\ne \varnothing[/tex]

But since

[tex]B \cap R \ne \varnothing[/tex], [tex]Perm(B)\cap Perm(R)= \varnothing[/tex]

and

[tex]B \cap F \ne \varnothing[/tex] , [tex]Perm(B)\cap Perm(F)= \varnothing[/tex]

Since

[tex]|\mathcal{E} |=26 \text{, then, } |Perm(\mathcal{E})|=26! \\\\|B|=26-4+1=23 \text{, then, } |Perm(B)|=23!\\\\|F|=26-4+1=23 \text{, then, } |Perm(F)|=23!\\\\|R|=26-3+1=24 \text{, then, } |Perm(R)|=24!\\\\|FR|=26-7+2=21 \text{, then, } |Perm(FR)|=21!\\[/tex]

where [tex]|Perm(X)|=\text{number of possible permutations of the elements of X taking all at once}[/tex]

and

[tex]|Perm(F) \cup Perm(R)| = |Perm(F)| + |Perm(R)| - |Perm(FR)|\\= 23!+24!- 21! \text{ possibilities}[/tex]

What we are looking for is the number of permutations of the 26 letters of the alphabet that do  not contain the strings fish, rat or bird, or

[tex]|Perm(\mathcal{E})|-|Perm(B)|-|Perm(F)\cup Perm(R)|\\= 26!-23!-(23!+24!- 21!)\\= 402619359782336797900800000 \text{ possibilities}[/tex]

This link contains another solved problem on permutations:

https://brainly.com/question/7951365

Answer:

1/10 x 30/10=30/100 then simplify =3/10  

Step-by-step explanation:

Hope I helped please mark brainliest!

Answer:

18 is the greatest common factor between those

Answer:

There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.

Step-by-step explanation:

Answer:

49x^4-70x^3+319x^2-420x+150, first option

Step-by-step explanation:

Just do (7x^3-5x^2+42x-30) times (7x-5)

and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.

All this would simplify to the first option.

49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150

= 49x^4 - 70x^3 + 319x^2 - 420x + 150

ANSwer: The first one.

Step-by-step explanation:

that means we divide 2/3 by 4.

2/3 / 4 = 2/3 / 4/1 = 2/3 × 1/4 = 2/12 = 1/6

so each quarter of the remaining 2/3 pizza is actually 1/6 of the complete pizza.

Answer:

14

Step-by-step explanation:

First fond 40% of 20

20×40/100 = 8

So now there is a total of 20+8 =28

At the store you spend exactly half

28×50/100 =14

So now you are left with 28-14 =14

Answer:

16093

Step-by-step explanation:

I hope this helps!

Answer:

Your answer is 6,960,212.797357.

End of Answer

Step-by-step explanation:

(19.093 * 10)^3 OR

19.093 * 10 = 190.93

190.93^3 = 6,960,212.797357

End of Step-by-step explanation

Edit: I'm probably wrong this is the actual answer: 16093

Answer:

Angle 2 = 64°

Step-by-step explanation:

Angle 2 = 180°-116° (int angles, 12//34)

=64°

Answer:

432

24*36

---------- = 432

2

Answer:

35/72

Step-by-step explanation:

Answer:

at an x intercept

Step-by-step explanation:

You need to calculate sin 0 = 0. Which means it's crossing (or at least touching) the x axis.

the answer to your question is slope is 6

Answer:

Step-by-step explanation:

1/3 (3x+12)

1/3×3x+1/3×12

x+4

Answer:

13/15

Step-by-step explanation:

I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!

The value of the expression if m = 3 is 13/15

Given the expression as shown below:

If the value of m = 3, hence the expression will become;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15\

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Hence the value of the expression if m = 3 is 13/15

Learn more on equations here: https://brainly.com/question/13763238

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

Answer : 942/157 = 6

Answer:

(2f-17h)/24k

Step-by-step explanation:

We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :

8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get

(2f-17h)/24k

First of all, 4.7 * 2.9 = 13.63, so I think a mistake has occurred there and second, comma does not come here because this is not a big number, it is a small number. If you meant a dot instead. it would placed in the middle AKA 13.63

Would appreciate brainliest <3

Answer:

(x^2 + 4)(x - 3).

Step-by-step explanation:

I'm guessing you want to factor this.

You can do it by grouping:

x^3 - 3x^2 + 4x - 12

= x^2(x - 3) + 4(x - 3)

= (x^2 + 4)(x - 3).

Answer: ≈ 26 lb

Step-by-step explanation:

11,800 grams x [tex]\frac{1 kilograms}{1000 grams}[/tex] x [tex]\frac{1 pound}{0.45kilograms}[/tex] ≈ 26 lb

Answer:

1, Stay calm

2, be confident

3, if you know the type of questions they are gonna ask practiece those type of questions

Also good luck

Answer:

B.

Step-by-step explanation:

There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3

4/3=1.3 repeating

1.3repeatingx9= 12/9

Answer:

B

Step-by-step explanation:

[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]

B is factorable through this method

Answer:

3x = 15

x = 15/3

x  =5

Answer:

1+1=2!!!!!!!!

YAY HAHAHAHAHAHA